$\tan \left[ \sec^{-1} \sqrt{1 + x^2} \right] = $

  • A
    $1/x$
  • B
    $x$
  • C
    $1/\sqrt{1 + x^2}$
  • D
    $x/\sqrt{1 + x^2}$

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જો $x < 1$ માટે $f(x) = \frac{\sqrt{\operatorname{Cos}^{-1} x}}{\sqrt{2(1-x)}}$ હોય,તો $\lim_{x \rightarrow 1^{-}} f(x) =$

$\tan ^{-1}(-1)$ નું મુખ્ય મૂલ્ય શોધો.

જો $A = \tan^{-1}x$ હોય,તો $\sin 2A = $

સમીકરણ $\sin^{-1} 2x = \cos^{-1} x$ ના તમામ ઉકેલોનો સરવાળો શોધો.

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$\cot ^{-1}\left(\frac{1}{\sqrt{x^{2}-1}}\right), x>1$ ને સાદા સ્વરૂપમાં લખો.

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