$\frac{\sin(B + A) + \cos(B - A)}{\sin(B - A) + \cos(B + A)} = $

  • A
    $\frac{\cos B + \sin B}{\cos B - \sin B}$
  • B
    $\frac{\cos A + \sin A}{\cos A - \sin A}$
  • C
    $\frac{\cos A - \sin A}{\cos A + \sin A}$
  • D
    આમાંથી કોઈ નહીં

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જો $A=35^{\circ}, B=15^{\circ}$ અને $C=40^{\circ}$ હોય,તો $\tan A \cdot \tan B+\tan B \cdot \tan C+\tan C \cdot \tan A$ ની કિંમત શોધો.

કિંમત શોધો: $\sin (\beta + \gamma - \alpha ) + \sin (\gamma + \alpha - \beta ) + \sin (\alpha + \beta - \gamma ) - \sin (\alpha + \beta + \gamma )$

જો $\tan \alpha = (1 + 2^{-x})^{-1}$ અને $\tan \beta = (1 + 2^{x+1})^{-1}$ હોય,તો $\alpha + \beta$ ની કિંમત શું થાય?

જો $\cos (A - B) = \frac{3}{5}$ અને $\tan A \tan B = 2$ હોય,તો

સાબિત કરો કે $\frac{\sin (x+y)}{\sin (x-y)} = \frac{\tan x + \tan y}{\tan x - \tan y}$.

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