If A is not an integral multiple of frac{pi}{ | vedclass

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(C) We have $\operatorname{cosec} 2A + \cot 2A = \frac{1}{\sin 2A} + \frac{\cos 2A}{\sin 2A} = \frac{1 + \cos 2A}{\sin 2A}$.Using the identities $1 +

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$	an A + 2 \cot 2A$

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(C) We have $\operatorname{cosec} 2A + \cot 2A = \frac{1}{\sin 2A} + \frac{\cos 2A}{\sin 2A} = \frac{1 + \cos 2A}{\sin 2A}$.Using the identities $1 + \cos 2A = 2 \cos^2 A$ and $\sin 2A = 2 \sin A \cos A$,we get:$\frac{2 \cos^2 A}{2 \sin A \cos A} = \frac{\cos A}{\sin A} = \cot A$.Now,we express $\cot A$ in terms of $	an A$:$\cot A = \frac{1}{	an A} = \frac{	an^2 A + 1 - 	an^2 A}{	an A} = 	an A + \frac{1 - 	an^2 A}{	an A}$.Since $	an 2A = \frac{2 	an A}{1 - 	an^2 A}$,we have $\cot 2A = \frac{1 - 	an^2 A}{2 	an A}$,which implies $\frac{1 - 	an^2 A}{	an A} = 2 \cot 2A$.Therefore,$\operatorname{cosec} 2A + \cot 2A = 	an A + 2 \cot 2A$.

If $A$ is not an integral multiple of $\frac{\pi}{2}$,then $\operatorname{cosec} 2A + \cot 2A$ is equal to

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