Prove that, \[ \begin{array}{l} \cot \left(A+15^{\circ}\right)-\tan \left(A-15^{\circ}\right)=\f...
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1Prove that,
\[
\begin{array}{l}
\cot \left(A+15^{\circ}\right)-\tan \left(A-15^{\circ}\right)=\frac{4 \cos 2 A}{1+2 \sin 2 A} \\
\frac{\sin \theta+\sin 2 \theta}{1+\cos \theta+\cos 2 \theta}=\tan \theta
\end{array}
\]
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