જો mathrm{n} એ સમીકરણ 2 cos xleft(4 sin left( | vedclass

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

Question

$2 \cos x\left(4 \sin \left(\frac{\pi}{4}+x\right) \sin \left(\frac{\pi}{4}-x\right)-1\right)=1$

$2 \cos x\left(4\left(\sin ^{2} \frac{\pi}{4}-\sin

Vedclass · Accepted Answer

$(3,13 \pi / 3)$

Vedclass · Answer

$2 \cos x\left(4 \sin \left(\frac{\pi}{4}+xight) \sin \left(\frac{\pi}{4}-xight)-1ight)=1$

$2 \cos x\left(4\left(\sin ^{2} \frac{\pi}{4}-\sin ^{2} xight)-1ight)=1$

$2 \cos x\left(4\left(\frac{1}{2}-\sin ^{2} xight)-1ight)=1$

$2 \cos x\left(2-4 \sin ^{2} x-1ight)=1$

$2 \cos x\left(1-4 \sin ^{2} xight)=1$

$2 \cos x\left(4 \cos ^{2} x-3ight)=1$

$4 \cos ^{3} x-3 \cos x=\frac{1}{2}$

$\cos 3 x=\frac{1}{2}$

$\mathrm{x} \in[0, \pi] 	herefore 3 \mathrm{x} \in[0,3 \pi]$

Similar Questions

જો $(2\cos x - 1)(3 + 2\cos x) = 0,\,0 \le x \le 2\pi $, તો $x = $

જો $\sqrt 3 \tan 2\theta + \sqrt 3 \tan 3\theta + \tan 2\theta \tan 3\theta = 1$ તો $\theta $ નો વ્યાપક ઉકેલ મેળવો.

$2{\sin ^2}x + {\sin ^2}2x = 2,\, - \pi < x < \pi ,$ તો $x = $

જો $\sqrt 2 \sec \theta + \tan \theta = 1,$ તો $\theta $ નો વ્યાપક ઉકેલ મેળવો.

જો $2\,cos\,\theta + sin\, \theta \, = 1$ $\left( {\theta \ne \frac{\pi }{2}} \right)$ , તો $7\, cos\,\theta + 6\, sin\, \theta $ = .....