3. Unit Circle

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

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator.sin 2𝜋3

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator.csc 7𝜋6

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator.cot 7𝜋4

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator.tan 9𝜋2

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

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator.tan(-𝜋/4)

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator.sec 495°

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator.cot 19𝜋6

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

In Exercises 61–86, 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 cos 𝜋 - cos 𝜋 sin 3𝜋3 3 2

In Exercises 87–92, find the exact value of each expression. Write the answer as a single fraction. Do not use a calculator.sin 3𝜋 tan (-15𝜋/4) - cos (-5𝜋/3) 2

In Exercises 93–98, letf(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)

In Exercises 93–98, letf(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