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

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. cos(-35𝜋 / 6)

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. sin(-𝜋/3)

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

In Exercises 2–4, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 15°

In Exercises 2–4, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 315°

In Exercises 5–7, convert each angle in radians to degrees. 5𝜋 3

In Exercises 5–7, convert each angle in radians to degrees. 7𝜋 5

In Exercises 5–7, convert each angle in radians to degrees. - 5𝜋 6

In Exercises 8–12, draw each angle in standard position. 5𝜋 6

In Exercises 8–12, draw each angle in standard position. 8𝜋 3

In Exercises 8–12, draw each angle in standard position. -135°

In Exercises 13–17, find a positive angle less than 360° or 2𝜋 that is coterminal with the given angle. -445°

If θ is an acute angle and sin θ = (2√7) / 7, use the identity sin²θ + cos²θ = 1 to find cos θ.

In Exercises 28–29, find a cofunction with the same value as the given expression. sin 70°

Find a cofunction with the same value as the given expression.

cos (𝜋/2)

In Exercises 30–32, find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round answers to the nearest whole number.

In Exercises 37–38, a point on the terminal side of angle θ is given. Find the exact value of each of the six trigonometric functions of θ, or state that the function is undefined.

(0, -1)

In Exercises 39–40, let θ be an angle in standard position. Name the quadrant in which θ lies.

tan θ > 0 and sec θ > 0

In Exercises 39–40, let θ be an angle in standard position. Name the quadrant in which θ lies.

tan θ > 0 and cos θ < 0

In Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ.

cos θ = 2/5, sin θ < 0

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

Convert 135° to an exact radian measure.

Find the length of the arc on a circle of radius 20 feet intercepted by a 75° central angle. Express arc length in terms of 𝜋. Then round your answer to two decimal places.

Find a positive angle less than 2𝜋 that is coterminal with 16𝜋 3

Find the reference angle for 16𝜋 3

In Exercises 8–13, find the exact value of each expression. Do not use a calculator. tan 300°