Solving for θ In Exercises 91–96, find two solutions of each equation. Give your answers in degrees (0° ≤ θ < 360°) and in radians (0 ≤ θ < 2π). Do not use a calculator. 91. (a) sin θ = 1 2 92. (a) cos θ = √2 2 (b) sin θ = −1 2 (b) cos θ = −√2 2 93. (a) cos θ = 1 2 94. (a) sin θ = √3 2 (b) sec θ = 2 (b) csc θ = 2√3 3 95. (a) tan θ = 1 96. (a) cot θ = 0 (b) cot θ = −√3 (b) sec θ = −√2
Solving for θ In Exercises 91–96, find two solutions of each equation. Give your answers in degrees (0° ≤ θ < 360°) and in radians (0 ≤ θ < 2π). Do not use a calculator. 91. (a) sin θ = 1 2 92. (a) cos θ = √2 2 (b) sin θ = −1 2 (b) cos θ = −√2 2 93. (a) cos θ = 1 2 94. (a) sin θ = √3 2 (b) sec θ = 2 (b) csc θ = 2√3 3 95. (a) tan θ = 1 96. (a) cot θ = 0 (b) cot θ = −√3 (b) sec θ = −√2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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Question
Solving for θ In Exercises 91–96, find
two solutions of each equation. Give your
answers in degrees (0° ≤ θ < 360°) and in
radians (0 ≤ θ < 2π). Do not use a calculator.
91. (a) sin θ = 1
2 92. (a) cos θ = √2
2
(b) sin θ = −1
2
(b) cos θ = −√2
2
93. (a) cos θ = 1
2 94. (a) sin θ = √3
2
(b) sec θ = 2 (b) csc θ = 2√3
3
95. (a) tan θ = 1 96. (a) cot θ = 0
(b) cot θ = −√3 (b) sec θ = −√2
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