\[ \begin{array}{c} \text { Show that : } \\ \cos \left(2 \tan ^{-1...

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\[
\begin{array}{c}
\text { Show that : } \\
\cos \left(2 \tan ^{-1} x\right)=\frac{1-x^{2}}{1+x^{2}} .
\end{array}
\]
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