3. Unit Circle

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator. tan (-17𝜋/6)

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

In Exercises 87–92, find the exact value of each expression. Write the answer as a single fraction. Do not use a calculator. sin 𝜋/3 cos 𝜋 - cos 𝜋/3 sin 3𝜋/2

Find the exact value of each expression. Write the answer as a single fraction. Do not use a calculator. sin (3𝜋/2) tan (-15𝜋/4) - cos (-5𝜋/3)

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)

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. the average rate of change of f from x₁ = 5𝜋/4 to x₂ = 3𝜋/2 (Hint: the average rate of change of f from x₁ to x₂ is f(x₂) - f(x₁)/(x₂ - x₁)

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

265°

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

-410°

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. sin 240°

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

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. sec 7𝜋 / 4

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. cos (11𝜋 / 6)

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

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