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Math › Trigonometry › Inverse Trig › Inverse Cosine

Trigonometry and Angles Quiz: Do You Know When To Use The Inverse?

Math

10th Grade,
11th Grade,
12th Grade

CCSS.Math.Content.HSG-SRT.D.11

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| By Anthony Nunan

A

Anthony Nunan

Community Contributor

Quizzes Created: 132 | Total Attempts: 48,392

| Attempts: 121 | Questions: 40 | Updated: Oct 3, 2025

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Question 1 / 41

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

About This Quiz

Trigonometry and Angles Quiz: Do You Know When To Use The Inverse? - Quiz

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 application of arcsine, arccosine, and arctangent to determine unknown angle measures. Each problem includes a diagram of the right triangle and a detailed solution to... see morereinforce key concepts. This assessment is designed for students seeking to deepen their comprehension of inverse trigonometric ratios and their applications in geometric problem-solving.
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2) The triangle below can be solved using trigonometry. Will it require an inverse ratio?

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

18) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

19) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

20) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

21) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

22) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

23) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

24) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

25) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

27) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem.

Submit

29) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

30) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

31) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

32) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

33) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

34) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

35) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

36) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

37) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

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

Yes

No

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Explanation

If you are trying to solve for an angle, then you must use the inverse ratio to solve the problem. This triangle is trying to solve for a side, so you don't use the inverse function.

Submit

39) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

40) Calculate the value of the given angle to the nearest degree. Give your answer as a number only.

because we are finding the angle, this will require the use of the inverse ratio.

Explanation

because we are finding the angle, this will require the use of the inverse ratio.

Submit

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