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Find the derivative of sinθcosθ...

Find the derivative of sinθcosθ

A.

sec2 θ

B.

tan θ cosec θ

C.

cosec θsec θ

D.

cosec2θ

Correct answer is A

sinθcosθ

cosθd(sinθ)dθsinθd(cosθ)dθcos2θ

cosθ.cosθsinθ(sinθ)cos2θ

cos2θ+sin2θcos2θ

Recall that sin2 θ + cos2 θ = 1

1cos2θ = sec2 θ