જો $\alpha, \beta, \gamma$ કોઈ પણ ત્રણ ખૂણાઓ હોય,તો $\cos \alpha + \cos \beta - \cos \gamma - \cos (\alpha + \beta + \gamma) =$

  • A
    $4 \cos \frac{\alpha+\beta}{2} \cos \frac{\beta+\gamma}{2} \cos \frac{\gamma+\alpha}{2}$
  • B
    $4 \cos \frac{\alpha+\beta}{2} \sin \frac{\beta+\gamma}{2} \sin \frac{\gamma+\alpha}{2}$
  • C
    $4 \cos \frac{\alpha+\beta}{2} \sin \frac{\beta-\gamma}{2} \sin \frac{\gamma-\alpha}{2}$
  • D
    $4 \sin \frac{\alpha+\beta}{2} \cos \frac{\beta+\gamma}{2} \cos \frac{\gamma+\alpha}{2}$

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જો $\cos (\alpha + \beta) = \frac{3}{5}$,$\sin (\alpha - \beta) = \frac{5}{13}$ અને $0 < \alpha, \beta < \frac{\pi}{4}$ હોય,તો $\tan (2\alpha)$ ની કિંમત શોધો.

જો $\sin A = n \sin B$ હોય,તો $\frac{n - 1}{n + 1} \tan \frac{A + B}{2} = $

ધારો કે $\cos (\alpha+\beta)=\frac{4}{5}$ અને $\sin (\alpha-\beta)=\frac{5}{13}$,જ્યાં $0 \leq \alpha, \beta \leq \frac{\pi}{4}$,તો $\tan 2 \alpha=$

$\cos^2 48^{\circ} - \sin^2 12^{\circ}$ ની કિંમત શોધો,જો $\sin 18^{\circ} = \frac{\sqrt{5}-1}{4}$ હોય.

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