1. Measuring Angles

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

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

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.

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 54°

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 10°

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 89°

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 14° 20'

Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 50° 40' 50"

Find the measure of each marked angle. See Example 2.

Find the measure of each marked angle. See Example 2.

Find the measure of each marked angle. See Example 2.