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PART - 1 CH - 3 Trigonometric Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsPART - 1 CH - 3 Trigonometric Functions1 Mark
Question
Write the expression $\frac{2 \tan A}{\tan 2 A}$ in the form of $\tan A$.
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Answer


$\begin{aligned}\text{Given expression } & =\frac{2 \tan A}{\tan 2 A} \\ & =\frac{2 \tan A}{\frac{2 \tan A}{1-\tan ^2 A}}=2 \tan A \times \frac{1-\tan ^2 A}{2 \tan A} \\ & =1-\tan ^2 A\end{aligned}$

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