જો tan^2 alpha tan^2 beta + tan^2 beta tan^2 | vedclass

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

Question

(C) આપેલ છે: $	an^2 \alpha 	an^2 \beta + 	an^2 \beta 	an^2 \gamma + 	an^2 \gamma 	an^2 \alpha + 2	an^2 \alpha 	an^2 \beta 	an^2 \gamma = 1$.ધ

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(C) આપેલ છે: $	an^2 \alpha 	an^2 \beta + 	an^2 \beta 	an^2 \gamma + 	an^2 \gamma 	an^2 \alpha + 2	an^2 \alpha 	an^2 \beta 	an^2 \gamma = 1$.ધારો કે $x = 	an^2 \alpha$,$y = 	an^2 \beta$,અને $z = 	an^2 \gamma$.તેથી આપેલ સમીકરણ $xy + yz + zx + 2xyz = 1$ થાય.આપણે $S = \sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma$ શોધવાનું છે.$\sin^2 	heta = \frac{	an^2 	heta}{1 + 	an^2 	heta}$ નો ઉપયોગ કરતા:$S = \frac{x}{1+x} + \frac{y}{1+y} + \frac{z}{1+z} = 1$.

જો $\tan^2 \alpha \tan^2 \beta + \tan^2 \beta \tan^2 \gamma + \tan^2 \gamma \tan^2 \alpha + 2\tan^2 \alpha \tan^2 \beta \tan^2 \gamma = 1$ હોય,તો $\sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma$ નું મૂલ્ય શોધો.

Similar Questions

જો $\sec \theta \cosh y = \operatorname{cosec} x$ અને $\operatorname{cosec} \theta \sinh y = \sec x$ હોય,તો $\sinh ^2 y =$

$3\left[ \sin^4\left( \frac{3\pi}{2} - \alpha \right) + \sin^4(3\pi + \alpha) \right] - 2\left[ \sin^6\left( \frac{\pi}{2} + \alpha \right) + \sin^6(5\pi - \alpha) \right] = $

જો $u = \log \tan \left(\frac{\pi}{4} + \frac{\theta}{2}\right)$ હોય,તો $\cosh u =$

જો $x$ અને $y$ લઘુકોણ હોય કે જેથી $\cos x + \cos y = \frac{3}{2}$ અને $\sin x + \sin y = \frac{3}{4}$ થાય,તો $\sin(x + y)$ ની કિંમત શોધો.

જો $\tan 20^{\circ}=\lambda$ હોય,તો $\frac{\tan 160^{\circ}-\tan 110^{\circ}}{1+\left(\tan 160^{\circ}\right)\left(\tan 110^{\circ}\right)}$ ની કિંમત શોધો.

Vedclass Test Series

Exam Paper Generator

Online Exam Module