3. Unit Circle

Find the exact value of each expression. See Example 3. tan(-1020°)

Identify the reference angle of each given angle.

120°

Let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of each expression. Do not use a calculator. (h o g) (17𝜋/3)

Find the reference angle for each angle.

-25π/6

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

$\(\tan\)765\(\degree\)$

Find exact values of the six trigonometric functions of each angle. Rationalize denominators when applicable. See Examples 2, 3, and 5. -390°

In Exercises 35–60, find the reference angle for each angle. 553°

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. cot(-210°)

Find exact values of the six trigonometric functions of each angle. Rationalize denominators when applicable. See Examples 2, 3, and 5. -1860°

Use reference angles to find the exact value of each expression. Do not use a calculator. sin (-17𝜋/3)

Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. sec θ = -2√3 3

Suppose θ is in the interval (90°, 180°). Find the sign of each of the following. cot(θ + 180°)

Find the reference angle for each angle.

4.7

Find the reference angle for each angle.

23π/4

Suppose θ is in the interval (90°, 180°). Find the sign of each of the following. sin(-θ)