Verify that the following equation is an identity. cos x cos y + sin x sin y sec (x+ y) = 2. cos x - sin?y Rewrite the left side of the given equation to prove that the given equation is an identity. 1 sec (x +y) = cos (x +y) sin (x +y)• cos (x-y) cos (x + y)• cos (x-y) Multiply the numerator and the denorninator by cos x cos y + sin x sin y (cos x cos y- sin x sin y)( cos x cos y+ sin x sin y) %3D sin (x -y). cos (x-y). %3D cos x cos y+ sin x sin y cos x- sin?y 2

Verify that the following equation is an identity. cos x cos y + sin x sin y sec (x+ y) = 2. cos x - sin?y Rewrite the left side of the given equation to prove that the given equation is an identity. 1 sec (x +y) = cos (x +y) sin (x +y)• cos (x-y) cos (x + y)• cos (x-y) Multiply the numerator and the denorninator by cos x cos y + sin x sin y (cos x cos y- sin x sin y)( cos x cos y+ sin x sin y) %3D sin (x -y). cos (x-y). %3D cos x cos y+ sin x sin y cos x- sin?y 2

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 44E

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