$\sec 2 \theta - \tan 2 \theta =$

  • A
    $\tan \left(\frac{\pi}{4} - \theta\right)$
  • B
    $\tan 2 \theta$
  • C
    $\cot 2 \theta$
  • D
    $\cot \left(\frac{\pi}{4} - \theta\right)$

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$\sin 120^{\circ} \cos 150^{\circ} - \cos 240^{\circ} \sin 330^{\circ}$ का मान ज्ञात कीजिए :

सिद्ध कीजिए कि: $\cot ^{2} \frac{\pi}{6} + \csc \frac{5 \pi}{6} + 3 \tan ^{2} \frac{\pi}{6} = 6$

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:

एक पहिया एक मिनट में $360$ चक्कर लगाता है। तो वह एक सेकंड में कितने रेडियन घूमता है ($\pi$ में)?

$\frac{\sqrt{3} \sin \theta + \cos \theta}{\sin \left(\theta + \frac{\pi}{6}\right)} = $

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