3. Unit Circle

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

265°

In Exercises 35–60, find the reference angle for each angle. 5.5

In Exercises 8–13, find the exact value of each expression. Do not use a calculator. cot (-8𝜋/3)

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

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

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

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator. tan(9𝜋/2)

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 61–86, use reference angles to find the exact value of each expression. Do not use a calculator. cot(7𝜋/4)