નીચેનામાંથી કયું નિત્યસમ સાચું છે?

  • A
    $\sin 5 \theta = 16 \cos^4 \theta \sin \theta - 12 \cos^2 \theta \sin \theta + \sin \theta$
  • B
    $\sin 5 \theta = 16 \cos^4 \theta - 12 \cos^2 \theta + 1$
  • C
    $\sin 5 \theta = 16 \cos^4 \theta \sin \theta + 12 \cos^2 \theta \sin \theta - \sin \theta$
  • D
    $\sin 5 \theta = 16 \cos^4 \theta \sin \theta + 12 \cos^2 \theta \sin \theta + \sin \theta$

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જો $\cot \frac{2x}{3} + \tan \frac{x}{3} = \operatorname{cosec} \frac{kx}{3}$ હોય,તો $k$ ની કિંમત શોધો.

જો $\frac{5\pi}{2} < x < 3\pi$ હોય,તો પદાવલિ $\frac{\sqrt{1 - \sin x} + \sqrt{1 + \sin x}}{\sqrt{1 - \sin x} - \sqrt{1 + \sin x}}$ ની કિંમત શોધો.

સાબિત કરો કે $\frac{\sin 5x - 2\sin 3x + \sin x}{\cos 5x - \cos x} = \tan x$.

$cot\, x + cot\, (60^\circ + x) + cot\, (120^\circ + x)$ ની કિંમત શોધો:

જો $\cos \theta = \frac{1}{2}\left( a + \frac{1}{a} \right)$ હોય,તો $\cos 3\theta$ ની કિંમત શોધો.

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