1. Measuring Angles

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 with 16𝜋 3

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 𝜋/10

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

cot 𝜋/12

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

Find two values of θ, 0 ≤ θ < 2𝜋, that satisfy each equation.

sin θ = √2/2

Find two values of θ, 0 ≤ θ < 2𝜋, that satisfy each equation. sin θ = - √2/2

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One degree, written 1°, represents ____________ of a complete rotation.

CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One minute, written 1' , is ________________ of a degree.