3. Unit Circle

Identify the reference angle of each given angle.

120°

Identify the reference angle of each given angle.

$\frac{7\pi}{4}$ rad

Identify the reference angle of each given angle.

210°

Identify what angle, $\theta$ , satisfies the following conditions.

$\sin\theta=\frac12$; $\tan\theta$ < $0$

Identify what angle, $\theta$ , satisfies the following conditions.

$\cos\theta=\frac{\sqrt3}{2}$; $\sin\theta$ < $0$

Identify what angle, $\theta$ , satisfies the following conditions.

$\tan\theta=-1$; $\cos\theta$ > $0$

For each expression, identify which coterminal angle to use & determine the exact value of the expression.

$\sin\frac{7\pi}{3}$

For each expression, identify which coterminal angle to use & determine the exact value of the expression.

$\tan765\degree$

For each expression, identify which coterminal angle to use & determine the exact value of the expression.

$\cos\left(-\frac{10\pi}{4}\right)$

Find the reference angle for each angle.

205°

Find the reference angle for each angle.

5π/4

Find the reference angle for each angle.

4.7

Find the reference angle for each angle.

23π/4

Find the reference angle for each angle.

-25π/6