1. Measuring Angles

Find each exact function value. See Example 3.

sin (-8π/ 3)

Find each exact function value. See Example 3.

sin (-7π/ 6)

Find each exact function value. See Example 3.

tan (-14π/ 3)

Work each problem.

Consider each angle in standard position having the given radian measure. In what quadrant does the terminal side lie?

3

Give an expression that generates all angles coterminal with an angle of π/2 radians. Let n represent any integer.

Through how many radians does the minute hand on a clock rotate in (a) 12 hr and (b) 3 hr?

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

60°

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

30°

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

90°

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

150°

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

- 300°

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

- 315°

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

450°

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

1800°

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).

3600°