જો $0 < A < B < \frac{\pi}{4}$,$\cos (A+B) = \frac{11}{61}$ અને $\sin (A-B) = \frac{24}{25}$ હોય,તો $\sin 2A + \sin 2B = $

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

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જો $\frac{\sin(x+y)}{\sin(x-y)} = \frac{a+b}{a-b}$ હોય,તો $\frac{\tan x}{\tan y} = $

$\cos \left(\frac{3 \pi}{4}+x\right)-\sin \left(\frac{\pi}{4}-x\right) = $

$\frac{3 + \cot 76^{\circ} \cot 16^{\circ}}{\cot 76^{\circ} + \cot 16^{\circ}}$ ની કિંમત શોધો.

જો $\tan \theta = \frac{\cos 25^{\circ} + \sin 25^{\circ}}{\cos 25^{\circ} - \sin 25^{\circ}}$ અને $\theta$ ત્રીજા ચરણમાં હોય,તો $\theta =$ ($^{\circ}$ માં)

$1 - 2{\sin ^2}\left( {\frac{\pi }{4} + \theta } \right) = $

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