Inverse Sine and Cosine Functions

Practice Questions

Pre-Calculus › Inverse Sine and Cosine Functions

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1

Find the inverse of the function

.

Make sure the final notation is only in the forms including , , and .

2

Evaluate:

$cos^-^1\left(-\frac{\sqrt3}{2}\right)+cos^-^1\left(\frac{\sqrt3}{2}\right)$

3

Evaluate:

$cos^-^1\left(-\frac{\sqrt3}{2}\right)+cos^-^1\left(\frac{\sqrt3}{2}\right)$

4

Find the inverse of the function

.

Make sure the final notation is only in the forms including , , and .

5

Evaluate:

$cos^-^1\left(\frac{1}{2}\right)$

6

Evaluate:

$cos^-^1\left(\frac{1}{2}\right)$

7

Consider $sin(\theta)=-\frac{1}{2}$ , where theta is valid from $\left [ 0,2\pi\right ]$ . What is a possible value of theta?

8

Consider $sin(\theta)=-\frac{1}{2}$ , where theta is valid from $\left [ 0,2\pi\right ]$ . What is a possible value of theta?

9

Find angle A of the following triangle:

Using_inverse_sin_to_find_angle_of_triangle

10

Find angle A of the following triangle:

Using_inverse_sin_to_find_angle_of_triangle

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