1. Measuring Angles

In Exercises 87–90, find the absolute value of the radian measure of the angle that the second hand of a clock moves through in the given time.3 minutes and 40 seconds

In Exercises 8–12, draw each angle in standard position.5𝜋6

In Exercises 8–12, draw each angle in standard position.8𝜋3

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°

In Exercises 13–17, find a positive angle less than 360° or 2𝜋 that is coterminal with the given angle.31𝜋6

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

Find a positive angle less than 2𝜋 that is coterminal with16𝜋3

In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.sin 38°

In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.tan 32.7°

In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.csc 17°

In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.cos 𝜋10

In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.cot 𝜋12

In Exercises 55–58, use a calculator to find the value of the acute angle θ to the nearest degree.sin θ = 0.2974