3. Unit Circle

In Exercises 35–60, find the reference angle for each angle. 17𝜋 / 6

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

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°

In Exercises 87–92, find the exact value of each expression. Write the answer as a single fraction. Do not use a calculator. sin 𝜋/3 cos 𝜋 - cos 𝜋/3 sin 3𝜋/2

In Exercises 49–59, find the exact value of each expression. Do not use a calculator. sin 240°

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

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator. cos 225°

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

Evaluate each expression. Give exact values. sec² 300° - 2 cos² 150°

In Exercises 35–60, find the reference angle for each angle.

355°

In Exercises 44–48, find the reference angle for each angle.

-410°

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator. sec 240°

For each expression, identify which coterminal angle to use & determine the exact value of the expression.

$\(\cos\[\left\)(-\(\frac{10\pi}{4}\]\right\))$

Find the exact value of each expression. Write the answer as a single fraction. Do not use a calculator. sin (3𝜋/2) tan (-15𝜋/4) - cos (-5𝜋/3)

In Exercises 61–86, use reference angles to find the exact value of each expression. Do not use a calculator. csc(7𝜋/6)