Open Question
Find one solution for each equation. Assume all angles involved are acute angles. See Example 3.cos(2θ + 50°) = sin(2θ - 20°)
3. Unit Circle
Trigonometric Functions on the Unit Circle
Back3. Unit Circle
Trigonometric Functions on the Unit Circle
- Open QuestionIn Exercises 17–20, θ is an acute angle and sin θ and cos θ are given. Use identities to find tan θ, csc θ, sec θ, and cot θ. Where necessary, rationalize denominators.sin θ = 3/5, cos θ = 4/5
- Open QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator.sin 37° csc 37°
- Multiple Choice
Find the sine, cosine, and tangent of each angle using the unit circle.
rad,
- Multiple Choice
Find the sine, cosine, and tangent of each angle using the unit circle.
- Open QuestionFind exact values of the six trigonometric functions for each angle A.
- Open QuestionCONCEPT PREVIEW Match each trigonometric function in Column I with its value in Column II. Choices may be used once, more than once, or not at all. I II1. A. √32. B. 13. tan 45° C. ½4. D. √35. 26. E. 2√3 3 F. √3 3 G. 2 H. √2 2 I. √2
- Open Question
Find each exact function value. See Example 2. sin 7π/6
- Open Question
Graph each function over a one-period interval.
y = - (1/2) csc (x + π/2)
- Open Question
Graph each function over a one-period interval.
y = csc((1/2)x - π/4)
- Open Question
Graph each function over a one-period interval.
y = (1/2) csc (2x + π/2)
- Open Question
Graph each function over a one-period interval.
y = 2 + 3 sec (2x - π)
- Open QuestionCONCEPT PREVIEW Match each trigonometric function in Column I with its value in Column II. Choices may be used once, more than once, or not at all. I II1. A. √32. B. 13. C. ½4. D. √35. csc 60° 26. E. 2√3 3 F. √3 3 G. 2 H. √2 2 I. √2
- Open QuestionFind one solution for each equation. Assume all angles involved are acute angles.cos(3θ + 11°) = sin( 7θ + 40°) 5 10
- Open QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.