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
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 In Exercises 55–58, use the trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 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
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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