જો $\sec \theta + \tan \theta = p$ હોય,તો $\tan \theta$ ની કિંમત શું થાય?

  • A
    $\frac{2p}{p^2 - 1}$
  • B
    $\frac{p^2 - 1}{2p}$
  • C
    $\frac{p^2 + 1}{2p}$
  • D
    $\frac{2p}{p^2 + 1}$

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${\left( \frac{\cos A + \cos B}{\sin A - \sin B} \right)^n} + {\left( \frac{\sin A + \sin B}{\cos A - \cos B} \right)^n}$ ($n$ એ પૂર્ણાંક છે) $=$

જો $\theta \in \left(\frac{\pi}{2}, \frac{3 \pi}{2}\right)$ હોય, તો $\sqrt{4 \cos^{4} \theta + \sin^{2} 2 \theta} + 4 \cot \theta \cos^{2} \left(\frac{\pi}{4} - \frac{\theta}{2}\right)$ ની કિંમત શોધો.

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