If $\cos A = \frac{\sqrt{3}}{2},$ then $\tan 3A = $

  • A
    $0$
  • B
    $1/2$
  • C
    $1$
  • D
    $\infty$

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The value of $\frac{\sin ^{3} A+\cos ^{3} A}{\sin A+\cos A}+\frac{\cos ^{3} A-\sin ^{3} A}{\cos A-\sin A}$ is

$\sin 12^\circ \sin 24^\circ \sin 48^\circ \sin 84^\circ = $

$\cos \frac{2\pi}{15} \cos \frac{4\pi}{15} \cos \frac{8\pi}{15} \cos \frac{16\pi}{15} = $

The value of $\tan^{-1} \left( \frac{\sin 2 - 1}{\cos 2} \right)$ is equal to:

$\tan 100^\circ + \tan 125^\circ + \tan 100^\circ \tan 125^\circ = $

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