# Math

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Prove the identity.

sin² θ = tan² θ / 1 + tan² θ

• Math -

I assume the right side is supposed to be tan² è /(1 + tan² è)

Start by rewriting
1 + tan^2 = (cos^2 + sin^2)/cos^2
= 1 /cos^2
so that
1/(1+tan^2) = cos^2
Therefore the right side becomes
(sin^2/cos^2)* cos^2 = sin^2

• Math -

how did 1 + tan^2 become cos^2 + sin ^2?

• Math -

oh nevermind i got it thank you.

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