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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Difficult
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ગુણાકાર $(1+\tan 1^{\circ})(1+\tan 2^{\circ})(1+\tan 3^{\circ}) \dots (1+\tan 45^{\circ})$ બરાબર શું થાય?

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