જો $\tan \beta = \cos \theta \tan \alpha$ હોય,તો ${\tan ^2}\frac{\theta }{2} = $

  • A
    $\frac{\sin (\alpha + \beta )}{\sin (\alpha - \beta )}$
  • B
    $\frac{\cos (\alpha - \beta )}{\cos (\alpha + \beta )}$
  • C
    $\frac{\sin (\alpha - \beta )}{\sin (\alpha + \beta )}$
  • D
    $\frac{\cos (\alpha + \beta )}{\cos (\alpha - \beta )}$

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ગણ $S = \{\theta \in [-4\pi, 4\pi] : 3 \cos^2 2\theta + 6 \cos 2\theta - 10 \cos^2 \theta + 5 = 0\}$ માં ઘટકોની સંખ્યા કેટલી છે?

શ્રેણી $\cos 12^{\circ} + \cos 84^{\circ} + \cos 132^{\circ} + \cos 156^{\circ}$ નું મૂલ્ય શોધો.

જો $\sin A+\sin B=\sqrt{3}(\cos B-\cos A)$ હોય,તો $\sin 3A+\sin 3B$ ની કિંમત શોધો.

જો $\cosh 2x = 199$ હોય,તો $\operatorname{coth} x =$

જો $0 < \theta < \frac{\pi}{2}$ અને $\sin \theta \cos \theta = \frac{12}{25}$ હોય,તો $\sin^4 \theta + \cos^4 \theta$ ની કિંમત શોધો.

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