यदि $\cos ^2 84^{\circ}+\sin ^2 126^{\circ}-\sin 84^{\circ} \cos 126^{\circ}=K$ और $\cot A+\tan A=2 K$ है,तो $\tan A$ के संभावित मान हैं

  • A
    $\frac{1}{2}, 2$
  • B
    $\frac{1}{3}, 3$
  • C
    $\frac{2}{3}, \frac{3}{2}$
  • D
    $\frac{3}{4}, \frac{4}{3}$

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मान लीजिए $S = \left\{ \theta \in \left( 0, \frac{\pi}{2} \right) : \sum_{m=1}^{9} \sec \left( \theta + (m-1) \frac{\pi}{6} \right) \sec \left( \theta + \frac{m \pi}{6} \right) = -\frac{8}{\sqrt{3}} \right\}$. तो:

यदि $\tan \theta + \sec \theta = e^x$ है,तो $\cos \theta$ का मान क्या होगा?

यदि $x = \sec \phi - \tan \phi$ और $y = \csc \phi + \cot \phi$ है,तो:

यदि $x=-\frac{1}{2}$ है,तो $\sinh ^{-1} x+\operatorname{cosech}^{-1} x=$

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