$\tan \frac{\pi}{8}$ નું મૂલ્ય કેટલું થાય?

  • A
    $\frac{1}{2}$
  • B
    $\sqrt{2}+1$
  • C
    $\frac{1}{\sqrt{2}+1}$
  • D
    $1-\sqrt{2}$

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$\cos \left(\frac{\pi}{7}\right) \cos \left(\frac{2 \pi}{7}\right) \cos \left(\frac{4 \pi}{7}\right) = $

જો $3 \sin x + 4 \cos x = 5$ હોય,તો $6 \tan \frac{x}{2} - 9 \tan^2 \frac{x}{2}$ ની કિંમત શોધો.

જો $\frac{\sec 8\theta - 1}{\sec 4\theta - 1} = \frac{a + b \tan^2 2\theta}{1 + c \tan^2 2\theta + d \tan^4 2\theta}$ (જ્યાં $\theta \neq \frac{n\pi}{16}, n \in I$),તો $(a - b + c - d)$ ની કિંમત શોધો.

ધારો કે $n$ એક એકી પૂર્ણાંક છે. જો દરેક $\theta$ માટે $\sin n\theta = \sum\limits_{r = 0}^n {{b_r}{{\sin }^r}\theta } $ હોય,તો

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