Question 1

Match the functions with the designated transformations.

Question 2

Find the exact value of the composition.

$\cos^{-1}\left[\sin\left(\frac{\pi}{3}\right)\right]$

Accepted Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Question 3

The number of radians in a 1440-degree angle can be written as aπ, where a is a constant. What is the value of a?

Accepted Answer

4

Answer

3

Answer

2

Answer

5

Question 4

Using the basic trigonometric identities simplify the following expression:

$\cos^{-1}\left[\sin\left(\frac{\pi}{3}\right)\right]$

Accepted Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Question 5

Find the exact value. Do not use a calculator.

$\cos^{-1}\left[\sin\left(\frac{\pi}{3}\right)\right]$

Accepted Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Question 6

The angle below that is coterminal with -315.

Accepted Answer

45

Answer

90

Answer

-45

Answer

330

Question 7

sinθ and cosθ are given. Find the exact value of the indicated trigonometric function.

$\cos^{-1}\left[\sin\left(\frac{\pi}{3}\right)\right]$ $\cos heta=\frac{\sqrt{15}}{4}$

Find $csc heta$

Accepted Answer

4

Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Answer

$\frac{\pi}{6}$

Question 8

Find the angle of $\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)$ in degrees.

Accepted Answer

60

Answer

30

Answer

0

Answer

90

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