Q. 84.4( 9 Votes )

If, show that f(tanθ) = sin2θ.

Answer :


We need to prove that f(tanθ) = sin2θ.

We have

We know

However, cos2θ + sin2θ = 1

f(tanθ) = 2sinθcosθ

f(tanθ) = sin2θ

Thus, f(tanθ) = sin2θ

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