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

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.