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## FREE Trigonometry Practice Tests

All trigonometry resources, free trigonometry diagnostic tests, trigonometry diagnostic test 1, trigonometry diagnostic test 2, trigonometry diagnostic test 3, trigonometry diagnostic test 4, trigonometry diagnostic test 5, trigonometry diagnostic test 6.

High school Trigonometry classes introduce students to various trigonometric identities, properties, and functions in detail. Students typically take Trigonometry after completing previous coursework in Algebra and Geometry, but before taking Pre-Calculus and Calculus. Information students learn in Trigonometry helps them succeed in later higher-level mathematics courses, as well as in science courses like Physics, where trigonometric functions are used to model certain physical phenomena.

Like Pre-Algebra, Algebra I, and Algebra II classes, Trigonometry classes focus on functions and graphs. Trigonometry in particular investigates trigonometric functions, and in the process teaches students how to graph sine, cosine, secant, cosecant, tangent, cotangent, arcsin, arccos, and arctan functions, as well as how to perform phase shifts and calculate their periods and amplitudes. Trigonometric operations are also discussed, and students also learn about trigonometric equations, including how to understand, set up, and factor trig equations, how to solve individual trigonometric equations, as well as systems of trigonometric equations, how to find trig roots, and how to use the quadratic formula on trigonometric equations.

Trigonometric identities are also discussed in Trigonometry classes; students learn about the sum and product identities, as well as identities of inverse operations, squared trigonometric functions, halved angles, and doubled angles. Students also learn to work with identities with angle sums, complementary and supplementary identities, pythagorean identities, and basic and definitional identities.

Another major part of Trigonometry is learning to analyze specific kinds of special triangles. Students learn to determine angles and side lengths in 30-60-90 and 45-45-90 right triangles using the law of sines and the law of cosines, as well as how to identify similar triangles and determine proportions using proportionality.

Trigonometry also teaches students about the unit circles and radians, focusing on how to convert degrees into radians and vice versa. Complementary, supplementary, and coterminal angles are all discussed. This focus on angles in the unit circle is also applied to the coordinate plane when angles in different quadrants are examined.

As may now be apparent, many students find themselves very apprehensive about taking, and keeping up with, a Trigonometry course. Resources like Varsity Tutors’ free Trigonometry Practice Tests can help them channel any nervousness they feel about the course into a process of active review that will benefit them. Each Trigonometry Practice Test features a dozen multiple-choice Trigonometry questions, and each question comes with a full step-by-step explanation to help students who miss it learn the concepts being tested. Questions are organized in Practice Tests, which draw from various topics taught in Trigonometry; questions are also organized by concept. So, if a student wants to focus on only answering questions about using the law of sines, questions organized by concept makes this possible. Using Varsity Tutors’ free Trigonometry Practice Tests, students can practice material they find difficult and reduce apprehension they may feel about Trigonometry.

## Free Trigonometry Practice Tests

Practice tests by concept, angle applications practice test, angular velocity practice test, arc length practice test, area of a sector practice test, angles practice test, angles in different quadrants practice test, complementary and supplementary angles practice test, coterminal angles practice test, find all angles in a range given specific output practice test, complex numbers/polar form practice test, complex numbers practice test, de moivre's theorem and finding roots of complex numbers practice test, polar form of complex numbers practice test, practical applications practice test, bearing practice test, inclined planes and air navigation practice test, vectors practice test, sum, difference, and product identities practice test, complete a proof using sums, differences, or products of sines and cosines practice test, product of sines and cosines practice test, sum and difference of sines and cosines practice test, triangles practice test, area of a triangle practice test, find the area of a triangle using trigonometry practice test, law of cosines and law of sines practice test, ambiguous triangles practice test, law of cosines practice test, law of sines practice test, right triangles practice test, 30-60-90 triangles practice test, 45-45-90 triangles practice test, solving word problems with trigonometry practice test, trigonometric applications practice test, use special triangles to make deductions practice test, similar triangles practice test, identifying similar triangles practice test, proportions in similar triangles practice test, solving triangles practice test, finding angles practice test, finding sides practice test, trigonometric equations practice test, solving trigonometric equations practice test, finding trigonometric roots practice test, quadratic formula with trigonometry practice test, systems of trigonometric equations practice test, understanding trigonometric equations practice test, factoring trigonometric equations practice test, setting up trigonometric equations practice test, trigonometric functions and graphs practice test, trigonometric functions practice test, determine which values of trigonometric functions are undefined practice test, graphs of inverse trigonometric functions practice test, simplifying trigonometric functions practice test, solve a trigonometric function by squaring both sides practice test, understand the signs of the 6 trigonometric functions in each quadrant practice test, trigonometric graphs practice test, determine vertical shifts practice test, graphing secant and cosecant practice test, graphing sine and cosine practice test, graphing tangent and cotangent practice test, period and amplitude practice test, phase shifts practice test, trigonometric identities practice test, apply basic and definitional identities practice test, complementary and supplementary identities practice test, complete basic trigonometry proofs practice test, identities of doubled angles practice test, identities of halved angles practice test, identities of inverse operations practice test, identities of squared trigonometric functions practice test, identities with angle sums practice test, pythagorean identities practice test, sum and product identities practice test, trigonometric operations practice test, arcsin, arccos, arctan practice test, sec, csc, ctan practice test, sin, cos, tan practice test, unit circle and radians practice test, angles in the unit circle practice test, radians and conversions practice test, unit circle practice test.

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## Trigonometric Identities Quiz

Trigonometry is one of the core branches of Mathematics dealing with angles and calculations. This Trigonometric Identities quiz will gauge your understanding of the complex and interesting topic. Once you master Trignometry, you no longer fear Maths. This quiz has comprehensive coverage of easy, medium, to hard-level questions. So let's see how prepared you are to attempt these questions. If you find the quiz helpful, do share it with your friends. All the best! .

## Which of these is the identity of Sin 2x?

Cos^2 x + Sin^2 x

SinxCosx + CosxSin x

Sin x + Sinx

Rate this question:

## Is Sec2x = 1 an identity? ( 1 - Sinx )( 1 + Sinx)

True or false, tanx + tanysecx = tan ( x + y ) cosx + tanysinx, is sin^2 x + sin^2 ( x + y ) + 2sinxcosxsin ( x + y ) = sin^2 y , what is ( sinx + cosy )^2 .

Sin^2x + Cos^2x

SinxCosy + CosxSiny

Sin^2x + 2SinxCosy + Cos^2y

## Which of the following is the correct form of the Pythagorean identity in trigonometry?

Sin 2 x+cos 2 x=1

Tan 2 x+cot 2 x=1

Sec 2 x+csc 2 x=1

Sin 2 x+tan 2 x=1

## What is Sinx + Cosx + 1 ? TanxCotx

Sinx + Cosx

Cos^2 xSin^2 x

______1________ SecxCscx

## Is 2Sec^2 xCos^2 x = 2 an identity?

Which of the following is not an identity with cos2x.

1 - Sin^2 x

Cos^2 x - Sin^2 x

1 - 2Sin^2 x

## Is Sinx + Cosx = 1 an identity?

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## Trigonometry Revision Quiz

Last updated 12 Oct 2020

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These revision quizzes are on Trigonometry. You will need to know how to use sine, cosine and tangent, and how to find the inverse of these functions to calculate unknown sides and angles in right-angled triangles. You will need a scientific calculator for these quizzes.

Each time you take each quiz you'll be given 10 questions at random. There are two quizzes, one for Higher tier and one for Foundation tier.

- Trigonometry

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## Trigonometry Questions

Quiz on trigonometry - practice problems with answers.

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## Trigonometry Basics Test - Sin, Cos, Tan

4. Which trigonometric function can equal or be greater than 1.000? Sine Cosine Tangent none of the above

5. A plane ascends at a 40° angle. When it reaches an altitude of one hundred feet, how much ground distance has it covered? To solve, use the trigonometric chart. Round the answer to the nearest tenth. 64.3 feet 76.6 feet 80.1 feet 119.2 feet

6. A 20 ft. beam leans against a wall. The beam reaches the wall 13.9 ft. above the ground. What is the measure of the angle formed by the beam and the ground? 44° 35° 55° 46°

7. Which set of angles has the same trigonometric ratio? Sin 45 and tan 45 Sin 30 and cos 60 Cos 30 and tan 45 Tan 60 and sin 45

8. What is the sum of trigonometric ratios Sin 54 and Cos 36? 0.809 1.618 1.000 1.536

9. What is the sum of trigonometric ratios Sin 33 and Sin 57? 0.545 1.000 1.090 1.383

10. What is the sum of trigonometric ratios Cos 16 and Cos 74? 0.276 0.961 1.237 1.922

11. In △ABC, vertex C is a right angle. Which trigonometric ratio has the same trigonometric value as Sin A? Sin B Cosine A Cosine B Tan A

12. In △ABC, Tan ∠A = 3/4. The hypotenuse of △ABC is 3 4 5 9

13. In △ABC, Sin ∠B = 14/17. The hypotenuse of △ABC is 14 17 √ 485 0.824

14. In △ABC, Cos ∠C = 22/36. The hypotenuse is 22 36 0.611 2√ 445

Circle whether each answer is True or False.

15. The sum of the sine of an angle and the cosine of its complement is always greater than 1.000. True False

16. The trigonometric ratio of sin 45, cos 45, and tan 45 are equal. True False

## Trigonometry Questions

Trigonometry questions given here involve finding the missing sides of a triangle with the help of trigonometric ratios and proving trigonometry identities. We know that trigonometry is one of the most important chapters of Class 10 Maths. Hence, solving these questions will help you to improve your problem-solving skills.

What is Trigonometry?

The word ‘trigonometry’ is derived from the Greek words ‘tri’ (meaning three), ‘gon’ (meaning sides) and ‘metron’ (meaning measure). Trigonometry is the study of relationships between the sides and angles of a triangle.

The basic trigonometric ratios are defined as follows.

sine of ∠A = sin A = Side opposite to ∠A/ Hypotenuse

cosine of ∠A = cos A = Side adjacent to ∠A/ Hypotenuse

tangent of ∠A = tan A = (Side opposite to ∠A)/ (Side adjacent to ∠A)

cosecant of ∠A = cosec A = 1/sin A = Hypotenuse/ Side opposite to ∠A

secant of ∠A = sec A = 1/cos A = Hypotenuse/ Side adjacent to ∠A

cotangent of ∠A = cot A = 1/tan A = (Side adjacent to ∠A)/ (Side opposite to ∠A)

Also, tan A = sin A/cos A

cot A = cos A/sin A

Also, read: Trigonometry

## Trigonometry Questions and Answers

1. From the given figure, find tan P – cot R.

From the given,

In the right triangle PQR, Q is right angle.

By Pythagoras theorem,

PR 2 = PQ 2 + QR 2

QR 2 = (13) 2 – (12) 2

= 169 – 144

tan P = QR/PQ = 5/12

cot R = QR/PQ = 5/12

So, tan P – cot R = (5/12) – (5/12) = 0

sin (90° – A) = cos A cos (90° – A) = sin A tan (90° – A) = cot A cot (90° – A) = tan A sec (90° – A) = cosec A cosec (90° – A) = sec A
cos A + sin A = 1 1 + tan A = sec A cot A + 1 = cosec A |

2. Prove that (sin 4 θ – cos 4 θ +1) cosec 2 θ = 2

L.H.S. = (sin 4 θ – cos 4 θ +1) cosec 2 θ

= [(sin 2 θ – cos 2 θ) (sin 2 θ + cos 2 θ) + 1] cosec 2 θ

Using the identity sin 2 A + cos 2 A = 1,

= (sin 2 θ – cos 2 θ + 1) cosec 2 θ

= [sin 2 θ – (1 – sin 2 θ) + 1] cosec 2 θ

= 2 sin 2 θ cosec 2 θ

= 2 sin 2 θ (1/sin 2 θ)

3. Prove that (√3 + 1) (3 – cot 30°) = tan 3 60° – 2 sin 60°.

LHS = (√3 + 1)(3 – cot 30°)

= (√3 + 1)(3 – √3)

= 3√3 – √3.√3 + 3 – √3

= 2√3 – 3 + 3

RHS = tan 3 60° – 2 sin 60°

= (√3) 3 – 2(√3/2)

= 3√3 – √3

Therefore, (√3 + 1) (3 – cot 30°) = tan 3 60° – 2 sin 60°.

Hence proved.

4. If tan(A + B) = √3 and tan(A – B) = 1/√3 ; 0° < A + B ≤ 90°; A > B, find A and B.

tan(A + B) = √3

tan(A + B) = tan 60°

A + B = 60°….(i)

tan(A – B) = 1/√3

tan(A – B) = tan 30°

A – B = 30°….(ii)

Adding (i) and (ii),

A + B + A – B = 60° + 30°

Substituting A = 45° in (i),

45° + B = 60°

B = 60° – 45° = 15°

Therefore, A = 45° and B = 15°.

5. If sin 3A = cos (A – 26°), where 3A is an acute angle, find the value of A.

sin 3A = cos(A – 26°); 3A is an acute angle

cos(90° – 3A) = cos(A – 26°) {since cos(90° – A) = sin A}

⇒ 90° – 3A = A – 26

⇒ 3A + A = 90° + 26°

⇒ 4A = 116°

⇒ A = 116°/4

6. If A, B and C are interior angles of a triangle ABC, show that sin (B + C/2) = cos A/2.

We know that, for a given triangle, the sum of all the interior angles of a triangle is equal to 180°

A + B + C = 180° ….(1)

B + C = 180° – A

Dividing both sides of this equation by 2, we get;

⇒ (B + C)/2 = (180° – A)/2

⇒ (B + C)/2 = 90° – A/2

Take sin on both sides,

sin (B + C)/2 = sin (90° – A/2)

⇒ sin (B + C)/2 = cos A/2 {since sin(90° – x) = cos x}

7. If tan θ + sec θ = l, prove that sec θ = (l 2 + 1)/2l.

tan θ + sec θ = l….(i)

We know that,

sec 2 θ – tan 2 θ = 1

(sec θ – tan θ)(sec θ + tan θ) = 1

(sec θ – tan θ) l = 1 {from (i)}

sec θ – tan θ = 1/l….(ii)

tan θ + sec θ + sec θ – tan θ = l + (1/l)

2 sec θ = (l 2 + 1)l

sec θ = (l 2 + 1)/2l

8. Prove that (cos A – sin A + 1)/ (cos A + sin A – 1) = cosec A + cot A, using the identity cosec 2 A = 1 + cot 2 A.

LHS = (cos A – sin A + 1)/ (cos A + sin A – 1)

Dividing the numerator and denominator by sin A, we get;

= (cot A – 1 + cosec A)/(cot A + 1 – cosec A)

Using the identity cosec 2 A = 1 + cot 2 A ⇒ cosec 2 A – cot 2 A = 1,

= [cot A – (cosec 2 A – cot 2 A) + cosec A]/ (cot A + 1 – cosec A)

= [(cosec A + cot A) – (cosec A – cot A)(cosec A + cot A)] / (cot A + 1 – cosec A)

= cosec A + cot A

9. Prove that: (cosec A – sin A)(sec A – cos A) = 1/(tan A + cot A)

[Hint: Simplify LHS and RHS separately]

LHS = (cosec A – sin A)(sec A – cos A)

= (cos 2 A/sin A) (sin 2 A/cos A)

= cos A sin A….(i)

RHS = 1/(tan A + cot A)

= (sin A cos A)/ (sin 2 A + cos 2 A)

= (sin A cos A)/1

= sin A cos A….(ii)

From (i) and (ii),

i.e. (cosec A – sin A)(sec A – cos A) = 1/(tan A + cot A)

10. If a sin θ + b cos θ = c, prove that a cosθ – b sinθ = √(a 2 + b 2 – c 2 ).

a sin θ + b cos θ = c

Squaring on both sides,

(a sin θ + b cos θ) 2 = c 2

a 2 sin 2 θ + b 2 cos 2 θ + 2ab sin θ cos θ = c 2

a 2 (1 – cos 2 θ) + b 2 (1 – sin 2 θ) + 2ab sin θ cos θ = c 2

a 2 – a 2 cos 2 θ + b 2 – b 2 sin 2 θ + 2ab sin θ cos θ = c 2

a 2 + b 2 – c 2 = a 2 cos 2 θ + b 2 sin 2 θ – 2ab sin θ cos θ

a 2 + b 2 – c 2 = (a cos θ – b sin θ ) 2

⇒ a cos θ – b sin θ = √(a 2 + b 2 – c 2 )

## Video Lesson on Trigonometry

## Practice Questions on Trigonometry

Solve the following trigonometry problems.

- Prove that (sin α + cos α) (tan α + cot α) = sec α + cosec α.
- If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
- If sin θ + cos θ = √3, prove that tan θ + cot θ = 1.
- Evaluate: 2 tan 2 45° + cos 2 30° – sin 2 60°
- Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

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## Trigonometry

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- Quiz 1 Trigonometric functions

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## 15 Trigonometry Questions And Practice Problems To Do With High Schoolers

Beki Christian

Trigonometry questions address the relationship between the angles of a triangle and the lengths of the sides. By using our knowledge of the rules of trigonometry and trigonometric functions, we can calculate missing angles or sides when we have been given some of the information.

Here we’ve provided 15 trigonometry questions that will help your students practice the various types of trigonometry questions they will encounter during high school.

## Trigonometry in the real world

Trigonometry is used by architects, engineers, astronomers, crime scene investigators, flight engineers and many others.

Trigonometry Quiz

Need to identify the areas of strength and areas for focus in your high school classes? Use this trigonometry check for understanding quiz to understand how best to support your students with trigonometry. Includes topics such as right triangle trigonometry, law of sines, law of cosines and finding area of non-right triangles.

## Trigonometry in high school

In trigonometry we learn about the sine function, tangent function, and cosine function. These trig functions are abbreviated as sin, cos, and tan. We can use these to calculate sides and angles in right angled triangles. Later, students will be applying this to a variety of situations as well as learning the exact values of sin, cos, and tan for certain angles.

Students learn about trigonometric ratios: the law of sines, law of cosines, a new formula for the area of a triangle and applying trigonometric theorems to 3D shapes.

Trigonometry for more senior high school students will introduce the reciprocal trig functions, cotangent, secant and cosecant, but you don’t have to worry about these right now!

## How to answer trigonometry questions

The way to answer trigonometry questions depends on whether it is a right angled triangle or not.

## How to answer trigonometry questions: right angled triangles

If your trigonometry question involves a right angled triangle, you can apply the following relationships, ie SOH, CAH, TOA

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

The acronym SOH CAH TOA is used so that you can remember which ratio to use.

To answer the trigonometry question:

- Establish that it is a right angled triangle.
- Label the opposite side (opposite the angle) the adjacent side (next to the angle) and the hypotenuse (longest side opposite the right angle).

3. Use the following triangles to help us decide which calculation to do:

## How to answer trigonometry questions: non-right triangles

If the triangle is not a right angled triangle then we need to use the sine rule or the cosine rule.

There is also a formula we can use for the area of a triangle, which does not require us to know the base and height of the triangle.

Sine rule: \frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}

Cosine rule: a^{2}=b^{2}+c^{2}-2bc \cos(A)

Area of a triangle: Area = \frac{1}{2}ab \sin(C)

- Establish that it is not a right angled triangle.
- Label the sides of the triangle using lowercase a, b, c.
- Label the angles of the triangle using upper case A, B and C.
- Opposite sides and angles should use the same letter, for example, angle A is opposite to side a.

## Trigonometry questions

In high school geometry, trigonometry questions focus on the understanding of sin, cos, and tan (SOHCAHTOA) to calculate missing sides and angles in right triangles.

## Trigonometry questions: missing side

1. A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10^{\circ} to the horizontal. Calculate the length of the zip wire.

2. A surveyor wants to know the height of a skyscraper. He places his inclinometer on a tripod 1m from the ground. At a distance of 50m from the skyscraper, he records an angle of elevation of 82^{\circ} .

What is the height of the skyscraper? Give your answer to one decimal place.

Total height = 355.8+1=356.8m.

3. Triangle ABC is isosceles. Calculate the height of triangle ABC.

To solve this we split the triangle into two right angled triangles.

## Trigonometry questions: missing angles

4. A builder is constructing a roof. The wood he is using for the sloped section of the roof is 4m long and the peak of the roof needs to be 2m high. What angle should the piece of wood make with the base of the roof?

5. A ladder is leaning against a wall. The ladder is 1.8m long and the bottom of the ladder is 0.5m from the base of the wall. To be considered safe, a ladder must form an angle of between 70^{\circ} and 80^{\circ} with the floor. Is this ladder safe?

Not enough information

Yes it is safe.

6. A helicopter flies 40km east followed by 105km south. On what bearing must the helicopter fly to return home directly?

Since bearings are measured clockwise from North, we need to do 360-21=339^{\circ}.

In geometry, trigonometry questions ask students to solve a variety of problems including multi-step problems and real-life problems. We also need to be familiar with the exact values of the trigonometric functions at certain angles.

We look at applying trigonometry to 3D problems as well as using the sine rule, cosine rule, and area of a triangle.

## Trigonometry questions: SOHCAHTOA

7. Calculate the size of angle ABC. Give your answer to 3 significant figures.

8. Kevin’s garden is in the shape of an isosceles trapezoid (the sloping sides are equal in length). Kevin wants to buy enough grass seed for his garden. Each box of grass seed covers 15m^2 . How many boxes of grass seed will Kevin need to buy?

To calculate the area of the trapezoid, we first need to find the height. Since it is an isosceles trapezium, it is symmetrical and we can create a right angled triangle with a base of \frac{10-5}{2} .

We can then find the area of the trapezoid:

Number of boxes: 88.215=5.88

Kevin will need 6 boxes.

## Trigonometry questions: exact values

9. Which of these values cannot be the value of \sin(\theta) ?

10. . Write 4sin(60) + 3tan(60) in the form a\sqrt{k}.

## Trigonometry questions: 3D trigonometry

11. Work out angle a, between the line AG and the plane ADHE.

We need to begin by finding the length AH by looking at the triangle AEH and using pythagorean theorem.

We can then find angle a by looking at the triangle AGH.

12. Work out the length of BC.

First we need to find the length DC by looking at triangle CDE.

We can then look at triangle BAC.

## Trigonometry questions: sine/cosine rule

13. Ship A sails 40km due West and ship B sails 65km on a bearing of 050^{\circ} . Find the distance between the two ships.

The angle between their two paths is 90+50=140^{\circ} .

\begin{aligned} a^{2}&=b^{2}+c^{2}-2bc \cos(A)\\\\ a^{2}&=40^{2}+65^{2}-2\times 40 \times 65 \cos(140)\\\\ a^{2}&=5825-5200 \cos(140)\\\\ a^{2}&=9808.43\\\\ a&=99.0\mathrm{km} \end{aligned}

14. Find the size of angle B.

First we need to look at the right angled triangle.

Then we can look at the scalene triangle.

## Trigonometry questions – area of a triangle

15. The area of the triangle is 16cm^2 . Find the length of the side x .

\begin{aligned} \text{Area }&=\frac{1}{2}ab \sin(C)\\\\ 16&=\frac{1}{2} \times x \times 2x \times \sin(40)\\\\ 16&=x^{2} \sin(40)\\\\ \frac{1}{\sin(40)}&=x^{2}\\\\ 24.89&=x^{2}\\\\ 5.0&=x \end{aligned}

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## Trigonometry Questions - All Grades

You can create printable tests and worksheets from these Trigonometry questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

- [math]sqrt(2)[/math]
- [math]1/sqrt(2)[/math]
- [math]0[/math]
- [math]1[/math]
- [math]2 \ "units"[/math]
- [math]2sqrt(3) \ "units"[/math]
- [math]12 \ "units"[/math]
- [math]4sqrt(3) \ "units"[/math]
- sin θ = cos θ
- tan θ = cos θ
- sin^2 θ + cos^2 θ = 1
- sec θ = tan θ
- [math](-2pi)/6[/math]
- [math](4pi)/3[/math]
- [math]pi/3[/math]
- [math](2pi)/3[/math]
- [math]1/2 (1 - sqrt(2))[/math]
- [math]-1/4 (sqrt(6) - sqrt(2))[/math]
- [math]1/4 (sqrt(6)-sqrt(2))[/math]
- [math]1/4 (sqrt(2) + sqrt(6))[/math]
- [math]1/2(sqrt(3)+sqrt(2))[/math]
- [math]1/4(sqrt(2)-sqrt(6))[/math]
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- [math]1/4(sqrt(6)-sqrt(2))[/math]
- [math]pi/4[/math]
- [math]pi/5[/math]
- [math]sqrt2/2pi[/math]
- none of the above
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## Trigonometry Quiz

Test your knowledge of trigonometry with this quiz! Explore the study of angles and triangle sides, and identify the trigonometric function for the ratio of the opposite side to the hypotenuse. Challenge yourself by identifying the reciprocal of the sine function and more.

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## Questions and Answers

What is the study of angles and the lengths of sides of triangles called.

Trigonometry

## Which trigonometric function represents the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right-angled triangle?

In trigonometry, what is the reciprocal of the sine function, study notes, trigonometry basics.

- The study of angles and the lengths of sides of triangles is called Trigonometry.
- The trigonometric function that represents the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right-angled triangle is sine (sin).
- The reciprocal of the sine function is cosecant (csc).

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## Trigonometry - Edexcel Test questions

The three trigonometric ratios; sine, cosine and tangent are used to calculate angles and lengths in right-angled triangles. The sine and cosine rules calculate lengths and angles in any triangle.

Part of Maths Geometry and measure

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Trigonometry Quizzes, Questions & Answers How good are you with trigonometry? Do you know what a hypotenuse is? Can you tell us what a tangent function is? In which country did trigonometry first originate, and in which century? Take the online trigonometry quizzes and see how much you can recall from your maths class. The hypotenuse is the longest side of a right-angled triangle compared to ...

Increase your math skills with these trigonometry practice test questions and answers. Trigonometry is the branch of mathematics that is concerned with specific functions of angles and their application to calculations.

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The Corbettmaths Practice Questions on Trigonometry

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Find Trigonometry flashcards to help you study for your next exam and take them with you on the go! With Quizlet, you can browse through thousands of flashcards created by teachers and students — or make a set of your own!

These revision quizzes are on Trigonometry. You will need to know how to use sine, cosine and tangent, and how to find the inverse of these functions to calculate unknown sides and angles in right-angled triangles. You will need a scientific calculator for these quizzes.

Quiz on Trigonometry - Practice problems with answers Solve these trigonometry questions and sharpen your practice problem-solving skills. We have quizzes covering each and every topic of Trigonometry. Subject matter experts have curated these online quizzes with varying difficulty levels for a well-rounded practice session.

Trigonometry Basics Test - Sin, Cos, Tan Choose the best answer. Trigonometric ratios are rounded to the nearest thousandth.

Trigonometry 4 units · 36 skills. Unit 1 Right triangles & trigonometry. Unit 2 Trigonometric functions. Unit 3 Non-right triangles & trigonometry. Unit 4 Trigonometric equations and identities. Course challenge. Test your knowledge of the skills in this course. Start Course challenge. Math.

Trigonometry Questions Trigonometry questions given here involve finding the missing sides of a triangle with the help of trigonometric ratios and proving trigonometry identities. We know that trigonometry is one of the most important chapters of Class 10 Maths. Hence, solving these questions will help you to improve your problem-solving skills.

Quiz 1. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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Trigonometry questions & practice problems to do with your high schoolers. Get them to practice key skills and prepare for exam-style questions!

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Test your knowledge of trigonometry with this quiz! Explore the study of angles and triangle sides, and identify the trigonometric function for the ratio of the opposite side to the hypotenuse. Challenge yourself by identifying the reciprocal of the sine function and more.

Trigonometry - Edexcel Test questions The three trigonometric ratios; sine, cosine and tangent are used to calculate angles and lengths in right-angled triangles.

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