1. Measuring Angles

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

In Exercises 55–58, use a calculator to find the value of the acute angle θ to the nearest degree.tan θ = 4.6252

In Exercises 59–62, use a calculator to find the value of the acute angle θ in radians, rounded to three decimal places.cos θ = 0.4112

In Exercises 59–62, use a calculator to find the value of the acute angle θ in radians, rounded to three decimal places.tan θ = 0.4169

In Exercises 99–104, find two values of θ, 0 ≤ θ < 2𝜋, that satisfy each equation._sin θ = √22