यदि {tan ^2}theta = 2{tan ^2}phi | vedclass

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

Question

${	an ^2}	heta  = 2{	an ^2}\phi + 1 $

$\Rightarrow 1 + {	an ^2}	heta  = 2\,(1 + {	an ^2}\phi )$

$\Rightarrow$ ${\sec ^

Vedclass · Accepted Answer

$0$

Vedclass · Answer

${	an ^2}	heta  = 2{	an ^2}\phi + 1 $

$\Rightarrow 1 + {	an ^2}	heta  = 2\,(1 + {	an ^2}\phi )$

$\Rightarrow$ ${\sec ^2}	heta  = 2{\sec ^2}\phi $

$\Rightarrow {\cos ^2}\phi = 2{\cos ^2}	heta $

$\Rightarrow$ ${\cos ^2}\phi = 1 + \cos 2	heta  $

$\Rightarrow {\sin ^2}\phi   + \cos 2	heta  = 0$.

ट्रिक : माना $	heta  = {45^o}$ तब $\phi = 0$

$	herefore \;\cos (2 	imes {45^o}) + {\sin ^2}0 = 0 + 0 = 0$.

यदि ${\tan ^2}\theta = 2{\tan ^2}\phi + 1,$ तब $\cos 2\theta + {\sin ^2}\phi $ बराबर है

Similar Questions

सिद्ध कीजिए $\frac{\cos 7 x+\cos 5 x}{\sin 7 x-\sin 5 x}=\cot x$

यदि $\sin 2\theta + \sin 2\phi = 1/2$ तथा $\cos 2\theta + \cos 2\phi = 3/2$, तब ${\cos ^2}(\theta - \phi ) = $

$\frac{{\sin 3A - \cos \left( {\frac{\pi }{2} - A} \right)}}{{\cos A + \cos (\pi + 3A)}} = $

यदि $0 < x, y < \pi$ तथा $\cos x+\cos y-\cos (x+y)=\frac{3}{2}$, है, तो $\sin x+\cos y$ बराबर है

यदि $\tan \beta = \cos \theta \tan \alpha ,$ तब ${\tan ^2}\frac{\theta }{2} = $