3. Unit Circle

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

$\(\sin\]\frac{7\pi}{3}\)$

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator. sin(-240°)

In Exercises 44–48, find the reference angle for each angle.

- 11𝜋/3

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. tan 120°

Find exact values of the six trigonometric functions of each angle. Rationalize denominators when applicable. See Examples 2, 3, and 5. -510°

In Exercises 35–60, find the reference angle for each angle.

-150°

What is the reference angle for a $240°$ angle?

Identify the reference angle of each given angle.

210°

Find the exact value of each expression. See Example 3. sec(-495°)

Find the reference angle for each angle.

205°

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. csc(-2𝜋/3)

Which of the following pairs of angles have the same reference angle?

Which expression can be used to determine the reference angle for an angle $\theta$ in standard position if $\theta >180°$ but $\theta <360°$?

Which equation can be used to determine the reference angle for an angle $\theta$ in standard position?