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Posted by on Tuesday, January 20, 2009 at 3:57pm.

Prove the identity.

sin² θ = tan² θ / 1 + tan² θ

  • Math - , Tuesday, January 20, 2009 at 4:37pm

    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 - , Tuesday, January 20, 2009 at 4:46pm

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

  • Math - , Tuesday, January 20, 2009 at 4:54pm

    oh nevermind i got it thank you.

  • Math - , Wednesday, January 21, 2009 at 5:45pm

    Cool

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