જો sin 6theta + sin 4theta + sin 2theta = 0 | vedclass

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Question

(a) $\sin 6	heta + \sin 4	heta + \sin 2	heta = 0$

$ \Rightarrow 2\sin 4	heta \cos 2	heta + \sin 4	heta = 0$

$ \Rightarrow $$\sin 4	heta (

Vedclass · Accepted Answer

$\frac{{n\pi }}{4}$ અથવા $n\pi \pm \frac{\pi }{3}$

Vedclass · Answer

(a) $\sin 6	heta + \sin 4	heta + \sin 2	heta = 0$

$ \Rightarrow 2\sin 4	heta \cos 2	heta + \sin 4	heta = 0$

$ \Rightarrow $$\sin 4	heta (2\cos 2	heta + 1) = 0$

$ \Rightarrow $ $2\cos 2	heta = - 1$

$ \Rightarrow $ $\cos 2	heta = - \frac{1}{2}$

$ \Rightarrow $ $2	heta = 2n\pi \pm \frac{{2\pi }}{3} $

$\Rightarrow 	heta = n\pi \pm \frac{\pi }{3}$

and $\sin 4	heta = 0 \Rightarrow 4	heta = n\pi \Rightarrow 	heta = \frac{{n\pi }}{4}$

$	heta = \frac{{n\pi }}{4}$ or $n\pi \pm \frac{\pi }{3}$.

જો $\sin 6\theta + \sin 4\theta + \sin 2\theta = 0 $ તો $\theta = $

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