$\tan 3A \cdot \tan 2A \cdot \tan A = $

  • A
    $\tan 3A + \tan 2A - \tan A$
  • B
    $\tan 3A - \tan 2A - \tan A$
  • C
    $\tan 3A + \tan 2A + \tan A$
  • D
    $\tan 3A - \tan 2A + \tan A$

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यदि $\sin^3 x \sin 3x = \sum_{m=0}^n c_m \cos mx$ है,जहाँ $c_0, c_1, c_2, \dots, c_n$ स्थिरांक हैं और $c_n \neq 0$,तो $n$ का मान ज्ञात कीजिए।

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यदि $90^\circ < A < 180^\circ$ और $\sin A = \frac{4}{5}$ है,तो $\tan \frac{A}{2}$ का मान ज्ञात कीजिए।

यदि $540^{\circ} < \theta < 630^{\circ}$ और $\tan \theta = \frac{5}{12}$ है,तो $\frac{\cos \frac{\theta}{2} - 5 \sin \frac{\theta}{2}}{\sqrt{-(12 \sec \theta + 5 \operatorname{cosec} \theta)}} = $

$\tan 20^\circ \cot 10^\circ \cot 50^\circ$ का मान ज्ञात कीजिए।

यदि $\tan \theta = \frac{1}{3}$ है,तो $\cos 2 \theta = $

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