Trigonometric Substitution InExercises 55–58, use the trigonometricsubstitution to write the algebraic expressionas a trigonometric function of θ, where0 < θ < π2.55. √9 − x2, x = 3 cos θ56. √49 − x2, x = 7 sin θ57. √x2 − 4, x = 2 sec θ58. √9x2 + 25, 3x = 5 tan θ
Trigonometric Substitution InExercises 55–58, use the trigonometricsubstitution to write the algebraic expressionas a trigonometric function of θ, where0 < θ < π2.55. √9 − x2, x = 3 cos θ56. √49 − x2, x = 7 sin θ57. √x2 − 4, x = 2 sec θ58. √9x2 + 25, 3x = 5 tan θ
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 31E
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Trigonometric Substitution In
Exercises 55–58, use the trigonometric
substitution to write the algebraic expression
as a trigonometric
0 < θ < π2.
55. √9 − x2, x = 3 cos θ
56. √49 − x2, x = 7 sin θ
57. √x2 − 4, x = 2 sec θ
58. √9x2 + 25, 3x = 5 tan θ
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