$\operatorname{cosec}^{-1}(\sqrt{2})+\cos ^{-1}\left(\frac{-1}{2}\right)-\sec ^{-1}\left(\frac{2}{\sqrt{3}}\right)$ નું મૂલ્ય કેટલું થાય?

  • A
    $\frac{3 \pi}{4}$
  • B
    $\frac{\pi}{6}$
  • C
    $\frac{2 \pi}{3}$
  • D
    $\frac{\pi}{4}$

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$\sin \left( {2{{\tan }^{ - 1}}\left( {\frac{1}{3}} \right)} \right) + \cos ({\tan ^{ - 1}}(2\sqrt 2 ))$ ની કિંમત શોધો.

જો $\sin ^{ - 1}\frac{{2a}}{{1 + {a^2}}} - \cos ^{ - 1}\frac{{1 - {b^2}}}{{1 + {b^2}}} = \tan ^{ - 1}\frac{{2x}}{{1 - {x^2}}}$,હોય,તો $x = $

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$k$ ના તમામ મૂલ્યોનો ગણ જેના માટે $(\tan^{-1} x)^3 + (\cot^{-1} x)^3 = k \pi^3$,$x \in \mathbb{R}$,એ અંતરાલ છે

જો $4\sin^{-1}x + \cos^{-1}x = \pi$ હોય,તો $x$ ની કિંમત શોધો.

$\operatorname{Tan}^{-1} \left( \frac{\sqrt{8-2 \sqrt{15}}}{\sqrt{15}+1} \right) + \operatorname{Tan}^{-1} \left( \frac{1}{\sqrt{5}} \right) =$

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