$\sin 600^\circ \cos 330^\circ + \cos 120^\circ \sin 150^\circ$ का मान है

  • A
    $-1$
  • B
    $1$
  • C
    $\frac{1}{\sqrt{2}}$
  • D
    $\frac{\sqrt{3}}{2}$

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व्यंजक $\frac{\tan(x - \frac{\pi}{2}) \cdot \cos(\frac{3\pi}{2} + x) - \sin^3(\frac{7\pi}{2} - x)}{\cos(x - \frac{\pi}{2}) \cdot \tan(\frac{3\pi}{2} + x)}$ का सरलीकृत रूप है:

$\tan \frac{\pi}{3} + 2 \tan \frac{2 \pi}{3} + 4 \tan \frac{4 \pi}{3} + 8 \tan \frac{8 \pi}{3}$ का मान ज्ञात कीजिए। ($\sqrt{3}$ में)

$\frac{\cos 10^{\circ} + \cos 80^{\circ}}{\sin 80^{\circ} - \sin 10^{\circ}} = ?$

यदि $x \neq 0$ है,तो $\frac{\sin (\pi+x) \cos (\frac{\pi}{2}+x) \tan (\frac{3 \pi}{2}-x) \cot (2 \pi-x)}{\sin (2 \pi-x) \cos (2 \pi+x) \operatorname{cosec}(-x) \sin (\frac{3 \pi}{2}+x)} = $

$\operatorname{Tanh}^{-1}(\sin \theta) =$

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