3. Unit Circle

Find exact values of the six trigonometric functions of each angle. Rationalize denominators when applicable. See Examples 2, 3, and 5.-510°

Find exact values of the six trigonometric functions of each angle. Rationalize denominators when applicable. See Examples 2, 3, and 5.-1860°

Find exact values of the six trigonometric functions of each angle. Rationalize denominators when applicable. See Examples 2, 3, and 5.-2205°

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°)

Evaluate each expression. See Example 4.cot² 135° - sin 30° + 4 tan 45°

Determine whether each statement is true or false. If false, tell why. See Example 4.cos(30° + 60°) = cos 30° + cos 60°

Determine whether each statement is true or false. If false, tell why. See Example 4.cos 60° = 2 cos² 30° - 1

Determine whether each statement is true or false. If false, tell why. See Example 4.tan² 60° + 1 = sec² 60°

Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. See Example 6.cos θ = √3 2

Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. See Example 6.sec θ = -√2

Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. See Example 6. √3sin θ = - —— 2

Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. See Example 6. 1cos θ = - — 2

Concept Check Does there exist an angle θ with the function values cos θ = ⅔ and sin θ = ¾?