If f(x)=2x/1+x^2 show that f(tanthita)=sin2thita

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If f(x)=2x/1+x^2 show that f(tanthita)=sin2thita

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Ella 1 month 2021-08-16T06:30:02+00:00 1 Answer 1 views 0

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    2021-08-16T06:31:38+00:00

    \huge\boxed{\underline{\underline{\green{\tt Solution}}}}

    We know that

    \frac{2tan \theta}{1 +  {tan}^{2} \theta}  = sin2\theta

    Now

    f(x) =  \frac{2x}{1 +  {x}^{2} }

    So

    f(tan \theta) =  \frac{2tan \theta}{1 +  {tan}^{2} \theta}  = sin2\theta

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