$\cos(18^{\circ}-A) \cos(18^{\circ}+A) - \cos(72^{\circ}-A) \cos(72^{\circ}+A)$ ની કિંમત શોધો.

  • A
    $\cos 54^{\circ}$
  • B
    $\cos 36^{\circ}$
  • C
    $\sin 54^{\circ}$
  • D
    $\sin 36^{\circ}$

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સાબિત કરો કે $\frac{\cos 7x + \cos 5x}{\sin 7x - \sin 5x} = \cot x$.

જો $\alpha$ એ $3^{\text{rd}}$ ચરણમાં હોય,$\beta$ એ $2^{\text{nd}}$ ચરણમાં હોય અને $\tan \alpha = \frac{1}{7}$ તથા $\sin \beta = \frac{1}{\sqrt{10}}$ હોય,તો $\sin(2\alpha + \beta)$ ની કિંમત શોધો.

જો $\tan 80^{\circ} = \alpha$ અને $\tan 47^{\circ} = \beta$ હોય,તો $\tan 37^{\circ}$ ની કિંમત કેટલી થાય?

$\sin \left(\frac{\pi}{3}+x\right)-\cos \left(\frac{\pi}{6}+x\right) = $

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