જો $A + B + C = 180^\circ$ હોય,તો $\frac{\sin 2A + \sin 2B + \sin 2C}{\cos A + \cos B + \cos C - 1} = $

  • A
    $8\sin \frac{A}{2}\sin \frac{B}{2}\sin \frac{C}{2}$
  • B
    $8\cos \frac{A}{2}\cos \frac{B}{2}\cos \frac{C}{2}$
  • C
    $8\sin \frac{A}{2}\cos \frac{B}{2}\cos \frac{C}{2}$
  • D
    $8\cos \frac{A}{2}\sin \frac{B}{2}\sin \frac{C}{2}$

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$\sin \frac{\pi }{14} \sin \frac{3\pi }{14} \sin \frac{5\pi }{14} \sin \frac{7\pi }{14} \sin \frac{9\pi }{14} \sin \frac{11\pi }{14} \sin \frac{13\pi }{14}$ નું મૂલ્ય કેટલું થાય?

$\frac{\cos ^{2} 45^{\circ}}{\sin ^{2} 60^{\circ}}+\frac{\cos ^{2} 60^{\circ}}{\sin ^{2} 45^{\circ}}-\frac{\tan ^{2} 30^{\circ}}{\cot ^{2} 45^{\circ}}-\frac{\sin ^{2} 30^{\circ}}{\cot ^{2} 30^{\circ}}$ નું સંખ્યાત્મક મૂલ્ય શોધો.

જો $A + B + C = 180^\circ$ હોય,તો $\sum \tan \frac{A}{2} \tan \frac{B}{2} = $

$3\cos \theta - 4\sin \theta $ ની મહત્તમ કિંમત કેટલી છે?

$\frac{(\tan 69^{\circ} + \tan 66^{\circ})}{(1 - \tan 69^{\circ} \tan 66^{\circ})}$ ની કિંમત શોધો.

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