यदि $0 < A < B < \frac{\pi}{4}$,$\cos (A+B) = \frac{11}{61}$ और $\sin (A-B) = \frac{24}{25}$ है,तो $\sin 2A + \sin 2B = $

  • A
    $\frac{684}{1525}$
  • B
    $\frac{156}{1525}$
  • C
    $\frac{168}{305}$
  • D
    $\frac{137}{305}$

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सिद्ध कीजिए कि $\frac{\cos 9x - \cos 5x}{\sin 17x - \sin 3x} = -\frac{\sin 2x}{\cos 10x}$

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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