$(1+\sec 2\theta)(1+\sec 4\theta) = $

  • A
    $\tan \theta \tan 4\theta$
  • B
    $\cot \theta \tan 4\theta$
  • C
    $4 \cot \theta \tan 4\theta$
  • D
    $4 \tan \theta \tan 4\theta$

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सिद्ध कीजिए कि $\tan 4x = \frac{4 \tan x (1 - \tan^2 x)}{1 - 6 \tan^2 x + \tan^4 x}$.

यदि $A$,$\frac{\pi}{2}$ का पूर्णांक गुणज नहीं है,तो $\operatorname{cosec} 2A + \cot 2A$ किसके बराबर है?

यदि $a \tan \theta = b$ है,तो $a \cos 2\theta + b \sin 2\theta = $

$(\sec 2A + 1)\sec^2 A = $

यदि $\csc \theta = \frac{p + q}{p - q}$ $(p \neq q \neq 0)$ है,तो $\left| \cot \left( \frac{\pi}{4} + \frac{\theta}{2} \right) \right|$ का मान ज्ञात कीजिए।

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