$\cot \theta - \tan \theta - 2 \tan 2 \theta - 4 \tan 4 \theta = $

  • A
    $8 \cot 8 \theta$
  • B
    $\cot 8 \theta + \tan 3 \theta$
  • C
    $\cot 8 \theta + \cot 6 \theta$
  • D
    $4 \cot 8 \theta - \tan 6 \theta$

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$\frac{\cot ^2 15^{\circ}-1}{\cot ^2 15^{\circ}+1} = $

જો $\tan \alpha = \frac{1}{7}$ અને $\sin \beta = \frac{1}{\sqrt{10}}$ જ્યાં $0 < \alpha, \beta < \frac{\pi}{2}$ હોય,તો $2\beta$ ની કિંમત શોધો.

$\sin^{2}\left(\frac{\pi}{8}\right)$ ની કિંમત =

$\cos \frac{\pi}{2^2} \cdot \cos \frac{\pi}{2^3} \cdot \cos \frac{\pi}{2^4} \cdots \cos \frac{\pi}{2^{10}} = $

જો $\cos \frac{\pi}{4} \cos \frac{\pi}{8} \cos \frac{\pi}{16} \cos \frac{\pi}{32} = 2^m \operatorname{cosec} \frac{\pi}{n}$ હોય,તો $m+n=$

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