$\cot \left(\tan ^{-1} a+\cot ^{-1} a\right)$ ની કિંમત શોધો.

  • A
    $1$
  • B
    $0$
  • C
    $\frac{\pi}{2}$
  • D
    $\frac{\pi}{4}$

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$\tan \left(2 \tan^{-1}\left(\frac{1}{3}\right)+\tan^{-1}\left(\frac{1}{7}\right)\right) = $

જો ${({\tan ^{ - 1}}x)^2} + {({\cot ^{ - 1}}x)^2} = \frac{{5{\pi ^2}}}{8}$ હોય,તો $x$ ની કિંમત શોધો.

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$\cos \left(\sin ^{-1} \frac{1}{5}+\cos ^{-1} x\right)=0$ હોય,તો $x=$ . . . . . . .

જો $2 \sin^{-1} x = \sin^{-1}(2x \sqrt{1-x^2})$ હોય,તો $x \in$ . . . . . . .

$2 \tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{7}\right)$ ની કિંમત શોધો.

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