સરવાળો $S = \sin \theta + \sin 2\theta + \dots + \sin n\theta$ બરાબર શું થાય?

  • A
    $\frac{\sin \frac{1}{2}(n + 1)\theta \sin \frac{1}{2}n\theta}{\sin \frac{\theta}{2}}$
  • B
    $\frac{\cos \frac{1}{2}(n + 1)\theta \sin \frac{1}{2}n\theta}{\sin \frac{\theta}{2}}$
  • C
    $\frac{\sin \frac{1}{2}(n + 1)\theta \cos \frac{1}{2}n\theta}{\sin \frac{\theta}{2}}$
  • D
    $\frac{\cos \frac{1}{2}(n + 1)\theta \cos \frac{1}{2}n\theta}{\sin \frac{\theta}{2}}$

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સાબિત કરો કે $\cot x \cot 2x - \cot 2x \cot 3x - \cot 3x \cot x = 1$.

જો $\operatorname{cosec} \theta = \frac{p+q}{p-q}$ હોય,તો $\cot \left(\frac{\pi}{4} + \frac{\theta}{2}\right)$ ની કિંમત શોધો.

જો $\frac{\tan(A-B)}{\tan A} + \frac{\sin^{2}C}{\sin^{2}A} = 1,$ જ્યાં $A, B, C \in (0, \frac{\pi}{2})$, તો:

$0 < \theta < \frac{\pi}{2}$ માટે નીચેનામાંથી કયું/કયા વિધાન સાચું/સાચા છે?

જો $x = \log \left[ \cot \left( \frac{\pi}{4} + \theta \right) \right]$ હોય, તો $\sinh x$ ની કિંમત શું થાય?

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