यदि tan theta = t, तो tan 2theta + sec 2theta | vedclass

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

Question

(a) $	an 2	heta = \frac{{2	an 	heta }}{{1 - {{	an }^2}	heta }},\cos 2	heta = \frac{{1 - {{	an }^2}	heta }}{{1 + {{	an }^2}	heta }}$

$	a

Vedclass · Accepted Answer

$\frac{{1 + t}}{{1 - t}}$

Vedclass · Answer

(a) $	an 2	heta = \frac{{2	an 	heta }}{{1 - {{	an }^2}	heta }},\cos 2	heta = \frac{{1 - {{	an }^2}	heta }}{{1 + {{	an }^2}	heta }}$

$	an 2	heta + \sec 2	heta = \frac{{2t}}{{1 - {t^2}}} + \frac{{1 + {t^2}}}{{1 - {t^2}}} $

$= \frac{{{{(1 + t)}^2}}}{{(1 - t)(1 + t)}} = \frac{{1 + t}}{{1 - t}}$.

यदि $\tan \theta = t,$ तो $\tan 2\theta + \sec 2\theta = $

Similar Questions

यदि $\sin 6\theta = 32{\cos ^5}\theta \sin \theta - 32{\cos ^3}\theta \sin \theta + 3x,$ तब $x = $

$2\cos x - \cos 3x - \cos 5x = $

यदि $a{\sin ^2}x + b{\cos ^2}x = c,\,\,$$b\,{\sin ^2}y + a\,{\cos ^2}y = d$ तथा $a\,\tan x = b\,\tan y,$ तब $\frac{{{a^2}}}{{{b^2}}}$ बराबर है

$\sin 12^\circ \sin 48^\circ \sin 54^\circ = $

$\sin ^{2} 2 \theta+\cos ^{4} 2 \theta=\frac{3}{4}$ को संतुष्ट करने वाले $\theta \in\left(0, \frac{\pi}{2}\right)$ के सभी मानों का योग है