Explanation Given information: Formula used: sin θ = opposite hypotenuse tan θ = opposite adjecent csc θ = 1 sin θ And addition formula for sine and cosine is given by cos ( α + β ) = cos α cos β − sin α sin β sin ( α + β ) = sin α cos β + cos α sin β Calculation: Now, cos ( θ + π 2 ) = cos θ cos π 2 − sin θ sin π 2 = cos θ ⋅ 0 − sin θ ⋅ 1 ( since cos π 2 = 0 , sin π 2 = 1 ) cos ( θ + π 2 ) = − sin θ And sin ( θ + π 2 ) = sin θ . cos π 2 + cos θ

4th Edition

ISBN: 9781319379421

Author: Rogawski

Publisher: MAC HIGHER

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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.

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Question

Chapter 1.4, Problem 32E

To determine

Express cos(θ+π2) and sin(θ+π2) in terms of cosθ and sinθ.

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Chapter 1.4, Problem 31E

Chapter 1.4, Problem 33E

Chapter 1 Solutions

CALCULUS 4E (HC) W/ ACHIEVE ACCESS

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Express cos ( θ + π 2 ) and sin ( θ + π 2 ) in terms of cos θ and sin θ .

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Express cos(θ+π2) and sin(θ+π2) in terms of cosθ and sinθ.

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Chapter 1 Solutions