3. Unit Circle

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. sin(-𝜋/3)

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. cos(-35𝜋 / 6)

Find the reference angle for 16𝜋 3

In Exercises 8–13, find the exact value of each expression. Do not use a calculator. tan 300°

In Exercises 8–13, find the exact value of each expression. Do not use a calculator. cot (-8𝜋/3)

Concept Check Match each angle in Column I with its reference angle in Column II. Choices may be used once, more than once, or not at all. See Example 1. I. II. 5. A. 45° 6. 212° B. 60° 7. C. 82° 8. D. 30° 9. E. 38° 10. F. 32°

Concept Check Match each angle in Column I with its reference angle in Column II. Choices may be used once, more than once, or not at all. See Example 1. I. II. 5. A. 45° 6. B. 60° 7. -135° C. 82° 8. D. 30° 9. E. 38° 10. F. 32°

Concept Check Match each angle in Column I with its reference angle in Column II. Choices may be used once, more than once, or not at all. See Example 1. I. II. 5. A. 45° 6. B. 60° 7. C. 82° 8. D. 30° 9. E. 38° 10. 480° F. 32°

Find the exact value of each expression. See Example 3. sin 1305°

Find the exact value of each expression. See Example 3. tan(-1020°)

Find the exact value of each expression. See Example 3. sec(-495°)

Suppose θ is in the interval (90°, 180°). Find the sign of each of the following. sec(θ + 180°)

Suppose θ is in the interval (90°, 180°). Find the sign of each of the following. cot(θ + 180°)

Suppose θ is in the interval (90°, 180°). Find the sign of each of the following. sin(-θ)

Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. cos θ = -½