यदि $A > B$ और $\tan A - \tan B = x$ तथा $\cot B - \cot A = y$ है,तो $\cot (A - B) = $

  • A
    $\frac{1}{y} - \frac{1}{x}$
  • B
    $\frac{1}{x} - \frac{1}{y}$
  • C
    $\frac{1}{x} + \frac{1}{y}$
  • D
    $\frac{xy}{x - y}$

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यदि $\cos(\alpha + \beta) = \frac{4}{5}$ और $\sin(\alpha - \beta) = \frac{5}{13}$,जहाँ $0 \le \alpha, \beta \le \frac{\pi}{4}$ है,तो $\tan 2\alpha = $

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