# Unit Circle & Inverse Trig Functions

Lead Author(s): **Kelly Cline**

Student Price: **FREE**

These questions make use of the unit circle to judge properties of angles and to evaluate inverse trigonometric functions at special angles.

Content Index

[Inverse trigonometric functions] 1

What is arcsin $\left( \frac{1}{2} \right)$?

A

0

B

$\frac{\pi}{6}$

C

$\frac{\pi}{4}$

D

$\frac{\pi}{3}$

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[Unit circle] 1

Which of the following is the approximate value for the sine and cosine of angles $A$ and $B$ in the figure below.

A

sin $A \approx$ 0.5, cos $A \approx$ 0.85, sin $B \approx$ –0.7, cos $B \approx$ 0.7

B

sin $A \approx$ 0.85, cos $A \approx$ 0.5, sin $B \approx$ –0.7, cos $B \approx$ 0.7

C

sin $A \approx$ 0.5, cos $A \approx$ 0.85, sin $B \approx$ 0.7, cos $B \approx$ 0.7

D

sin $A \approx$ 0.85, cos $A \approx$ 0.5, sin $B \approx$ 0.7, cos $B \approx$ 0.7

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