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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 +

Vedclass · Accepted Answer

$	an A + 2 \cot 2A$

Vedclass · Answer

(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

Similar Questions

If $x \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$,then $\log \sec x = $

$A$ true statement among the following identities is

$\sin 4\theta$ can be written as

Prove that: $\cos 4x = 1 - 8 \sin^2 x \cos^2 x$

The value of $\cos \frac{\pi}{2^2} \cdot \cos \frac{\pi}{2^3} \cdot \dots \cdot \cos \frac{\pi}{2^{10}} \cdot \sin \frac{\pi}{2^{10}}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module