Inverse Trig Quizzes, Questions & Answers

Dive into the world of inverse trigonometric functions with our engaging Inverse Trig quiz. Read more

Inverse Sine Quizzes

Inverse Sine: Evaluate & Interpret (Principal Values)

Get comfortable with arcsin by learning how to interpret, evaluate, and connect inverse sine to the unit circle. In this quiz, you’ll find exact values like π/6, π/4, a...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Evaluate arcsin(1/2) in radians.

π/6

π/3

π/4

π/2

Solve Equations with Inverse Sine

Ready to turn sine equations into angles? This quiz helps you use arcsin to solve equations of the form sin(x) = k, identify principal values, and interpret additional solutions wh...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Solve for x (principal value): sin(x) = 1/2.

π/3

π/4

π/6

−π/6

Real-World Modeling with Inverse Sine

Apply arcsin to realistic situations — from ramps, ladders, and waves to motion and design problems. You’ll model physical relationships like θ = arcsin(opposite ...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A cable exerts tension T = 800 N at angle θ, producing a vertical component Tᵥ = 400 N. Find θ in degrees.

22.5°

30°

45°

60°

All Inverse Sine Quizzes

Inverse Cosine Quizzes

Ultimate High School Math Trivia

Dive into the world of high school mathematics with this Ultimate High School Math Trivia. Test your knowledge on topics like angles in radians, like terms, simultaneous equations,...

Questions: 15 | Attempts: 1731 | Last updated: Mar 21, 2025

Sample Question
What is 90 degrees in terms of pi?

Pi/4

Pi

2(pi)

Pi/2

the dreaded trig quiz

This trigonometry quiz tests knowledge on cosine ratios, triangle side calculations, angle determinations, inverse functions, and Pythagoras' theorem.

Questions: 10 | Attempts: 146 | Last updated: Mar 19, 2025

Sample Question
What is the ratio for Cosine?

Opposite/hypotenuse

Adjacent/hypotenuse

Hypotenuse/opposite

Hypotenuse/adjacent

Trigonometry and Angles Quiz: Do You Know When to Use the Inverse?

This quiz assesses your understanding of inverse trigonometric functions within the context of right triangle trigonometry. It presents a series of 40 problems requiring the applic...

Questions: 40 | Attempts: 113 | Last updated: Oct 03, 2025

Sample Question
The triangle below can be solved using trigonometry. Will it require an inverse ratio?

Yes

No

All Inverse Cosine Quizzes

Inverse Tangent Quizzes

Inverse Tangent: Evaluate & Interpret (Principal Values)

Explore how the arctangent (arctan) function links slopes, ratios, and angles. This quiz focuses on evaluating arctan values, identifying the correct principal range (–π/2...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Evaluate arctan(1) in radians.

π/6

π/4

π/3

π/2

Solve Equations with Inverse Tangent

Explore how the arctangent (arctan) function links slopes, ratios, and angles. This quiz focuses on evaluating arctan values, identifying the correct principal range (–π/2...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Evaluate arctan(1) in radians.

π/4

π/6

π/3

π/2

Real-World Modeling with Inverse Tangent

Connect mathematics to real-life scenarios involving slopes, elevations, and viewing angles. Students apply an inverse tangent to determine angles of elevation, depression, and inc...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A ship is 500 m from a 100 m cliff. Find the angle of elevation to the top of the cliff (nearest tenth).

9.5°

10.8°

11.3°

12.0°

All Inverse Tangent Quizzes

Graphs Of Inverses Quizzes

Advanced Trigonometry: Identities, Graphs, and Formulas

Explore the depths of trigonometric identities, formulas, graphing techniques, and inverse functions. This exercise enhances understanding of complex trigonometric concepts, crucia...

Questions: 14 | Attempts: 11 | Last updated: Sep 13, 2025

Sample Question
Graph one complete cycle of 4(cos 2x - ? /2).

4(cos 2x)

4(sin 2x)

4(cos2x−1/2)

4(cos x - 1/2)

Identifying Graphs of Inverse Cosine

Ready to explore the world of inverse trig graphs? In this quiz, you’ll dive into the shape, domain, and range of y = arccos(x) and learn how it connects to the cosine f...

Questions: 20 | Attempts: 10 | Last updated: Oct 14, 2025

Sample Question
Which pair gives the domain and range of y = arccos(x)?

Domain (−∞, ∞), range (−∞, ∞)

Domain [−1, 1], range [0, π]

Domain [0, π], range [−1, 1]

Domain [−π, π], range [−1, 1]

Identifying Graphs of Inverse Tangent

Ready to tackle the graph of y = arctan(x)? This quiz will help you visualize how the inverse tangent curve behaves — increasing smoothly with horizontal asymptotes and passi...

Questions: 20 | Attempts: 10 | Last updated: Oct 14, 2025

Sample Question
Which pair gives the domain and range of y = arctan(x)?

(−∞, ∞), Range (−π/2, π/2)

[−1, 1], Range [0, π]

[0, π], Range [−1, 1]

[−π, π], Range [−1, 1]

All Graphs Of Inverses Quizzes

Principal Values Quizzes

Principal Values: Defining Inverse Trig & Restricted Domains

Learn how inverse trigonometric functions are defined by carefully restricting domains to make them valid functions. This quiz focuses on identifying correct domain and range pairs...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Which function has an inverse only if its domain is restricted to [−π/2, π/2]?

Sin(x)

Tan(x)

Cos(x)

Csc(x)

Solve Equations & Model with Principal Values

Apply principal values to real-life and modeling scenarios. This quiz connects inverse trigonometric equations to geometric contexts like ladders, ramps, hills, and slopes. Student...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Solve sin(x) = 1/2 for the principal value.

X = π/6

X = 5π/6

X = −π/6

X = π/2

All Principal Values Quizzes

Real World Use Quizzes

Trigonometry practice test questions and answers

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...

Questions: 15 | Attempts: 14682 | Last updated: Mar 13, 2025

Sample Question
Value of , for = 1 Where 0° < < 90° is:

30°

60°

45°

135°

Trigonometry and Statistics Independent Learning Assessment 1

Trigonometry and Statistics Independent Learning Assessment 1 tests understanding through simple numerical evaluations. It assesses key mathematical skills, focusing on basic stati...

Questions: 10 | Attempts: 267 | Last updated: Feb 08, 2025

Sample Question
Evaluate

-1

1

Honors Pre-Calculus & Trigonometry.... Statistics Test Part 1

You may use scrap paper, but no work will be graded. Good luck & have fun!

Questions: 18 | Attempts: 262 | Last updated: Mar 22, 2025

Sample Question
What is the median of the following set of scores? 18, 6, 14, 10, 12

10

14

18

12

All Real World Use Quizzes

Inverse Trig Quizzes, Questions & Answers

Popular Inverse Trig Topics

Inverse Sine Quizzes

Inverse Cosine Quizzes

Inverse Tangent Quizzes

Graphs Of Inverses Quizzes

Principal Values Quizzes

Real World Use Quizzes

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