Trigonometric Substitution In Exercises 59–62,use the trigonometric substitution to write the algebraicequation as a trigonometric equation of θ, where−π2 < θ < π2. Then find sin θ and cos θ.59. √2 = √4 − x2, x = 2 sin θ60. 2√2 = √16 − 4x2, x = 2 cos θ61. 3 = √36 − x2, x = 6 sin θ62. 5√3 = √100 − x2, x = 10 cos θ

Trigonometric Substitution In Exercises 59–62,use the trigonometric substitution to write the algebraicequation as a trigonometric equation of θ, where−π2 < θ < π2. Then find sin θ and cos θ.59. √2 = √4 − x2, x = 2 sin θ60. 2√2 = √16 − 4x2, x = 2 cos θ61. 3 = √36 − x2, x = 6 sin θ62. 5√3 = √100 − x2, x = 10 cos θ

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 61E

See similar textbooks