જો $\tan \theta = - \frac{1}{\sqrt{3}}$,$\sin \theta = \frac{1}{2}$,અને $\cos \theta = - \frac{\sqrt{3}}{2}$ હોય,તો $\theta$ નું મુખ્ય મૂલ્ય શું હશે?

  • A
    $\frac{\pi}{6}$
  • B
    $\frac{5\pi}{6}$
  • C
    $\frac{7\pi}{6}$
  • D
    $-\frac{\pi}{6}$

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જો $\frac{\pi}{2} \le x \le \frac{3\pi}{2}$ હોય,તો $\sin^{-1}(\sin x)$ ની કિંમત શું થાય?

જો $\sin ^{-1}\left(x-\frac{x^{2}}{2}+\frac{x^{3}}{4}-\frac{x^{4}}{8}+\ldots\right)=\frac{\pi}{6},$ જ્યાં $|x| < 2$ હોય, તો $x$ ની કિંમત શોધો.

જો $2 f(\sin x) + f(\cos x) = x$ હોય,તો $f^{\prime}(x) = $

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