`(1 + sin(alpha))(1 - sin(alpha)) = cos^2(alpha)` Verfiy the identity.

Textbook Question

Chapter 5, 5.2 - Problem 13 - Precalculus (3rd Edition, Ron Larson).
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Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

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First, `(1-x)*(1+x)=1-x^2.` So the left part is

`1-sin^2(alpha),`

which is obviously equal to `cos^2(alpha).`

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