यदि $y = \sin^{-1}\left(\frac{19}{20}x\right) + \cos^{-1}\left(\frac{19}{20}x\right)$ है,तो $\frac{dy}{dx} = $

  • A
    $0$
  • B
    $1$
  • C
    $-1$
  • D
    इनमें से कोई नहीं

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$\tan ^{-1} \left( \frac{\cos x}{1-\sin x} \right)$,$-\frac{3 \pi}{2} < x < \frac{\pi}{2}$ को सरलतम रूप में व्यक्त कीजिए।

यदि $\sum_{n=1}^{2026} \tan^{-1}(\frac{1}{n^2+n+1}) = \tan^{-1}(1 - \frac{1}{x})$, जहाँ $x \neq 0$, तो $x = $

यदि $4 \sin ^{-1} x + \cos ^{-1} x = \pi$ है,तो $x = $

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

यदि $\cos ^{-1} x - \cos ^{-1} \frac{y}{2} = \alpha$,जहाँ $-1 \leq x \leq 1, -2 \leq y \leq 2, x \leq \frac{y}{2}$ है,तो सभी $x, y$ के लिए $4x^2 - 4xy \cos \alpha + y^2$ का मान क्या होगा?

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