Inverse Trigonometric Functions and Angles

Inverse Trigonometric Functions and Angles

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Emma Peterson

FREE Resource

The video tutorial explains how to evaluate trigonometric expressions using reference triangles. It covers the evaluation of cosine of inverse sine, sine of inverse tangent, tangent of inverse cosine, and cosine of inverse tangent. The tutorial emphasizes the use of reference triangles, rationalization of denominators, and handling negative inputs in inverse trigonometric functions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of the angle obtained from the inverse sine of 1/2?

1/2

1

Square root of 3 divided by 2

Square root of 2 divided by 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which reference triangle is used to find the sine of the angle obtained from the inverse tangent of 1?

60-30-90 triangle

90-45-45 triangle

45-45-90 triangle

30-60-90 triangle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of the angle obtained from the inverse tangent of 1?

Square root of 2 divided by 2

1

Square root of 3 divided by 2

1/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle in radians for the inverse cosine of negative square root of 3 divided by 2?

5 Pi over 6

2 Pi over 3

Pi over 6

Pi over 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the angle for the inverse cosine of negative square root of 3 divided by 2 located?

Second quadrant

First quadrant

Fourth quadrant

Third quadrant

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of the angle obtained from the inverse cosine of negative square root of 3 divided by 2?

Square root of 3 divided by 3

1

Negative square root of 3 divided by 3

Negative 1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle in radians for the inverse tangent of negative square root of 3?

Pi over 3

Negative Pi over 3

Negative Pi over 6

Pi over 6

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