Question

Simply (1-sin x)(1+sin x)

Answer 1

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Answer:

cos²x.

Explanation:

Multiply by FOIL:

(1 - sin x)(1 + sin x)

1 + sin x - sin x - sin²x

Simplify:

1 - sin²x

This is a Pythagorean trigonometric identity.

1 - sin²x = cos²x.