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Simplify: (1sinθ)(1+sinθ)...

Simplify: (1sinθ)(1+sinθ)

A.

sin2θ

B.

sec2θ

C.

tan2θ

D.

cos2θ

Correct answer is D

(1+sinθ)(1sinθ)=1sinθ+sinθsin2θ

=1sin2θ

Recall, cos2θ+sin2θ=1

.