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यदि $\tan \left(\frac{x}{2}\right) = \frac{m}{n}$ है,तो $m \sin (x) + n \cos (x)$ का मान किसके बराबर है?

यदि $\cos A = \frac{3}{4}$ है,तो $32\sin \frac{A}{2}\cos \frac{5A}{2} = $

यदि $\cos x = -\frac{1}{3}$ और $x$ चतुर्थांश $III$ में स्थित है,तो $\sin \frac{x}{2}, \cos \frac{x}{2}$ और $\tan \frac{x}{2}$ का मान ज्ञात कीजिए।

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यदि $\text{cosec} \theta = \frac{p + q}{p - q}$ है,तो $\cot \left( \frac{\pi}{4} + \frac{\theta}{2} \right) = $

यदि $p = \tan 20^{\circ}$ है,तो $\frac{\tan 160^{\circ} - \tan 110^{\circ}}{1 + \tan 160^{\circ} \tan 110^{\circ}}$ का मान $p$ के पदों में क्या होगा?

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