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यदि $\sin \alpha = \frac{-3}{5}$ जहाँ $\pi < \alpha < \frac{3\pi}{2}$ है,तो $\cos \frac{\alpha}{2} = $

यदि $\frac{2 \tan(x)}{1-\tan^2(x)}$ का मान धनात्मक है,तो $x$ के वे मान ज्ञात कीजिए जिनके लिए $x \in \left(0, \frac{\pi}{2}\right)$ है।

$\operatorname{cosec} 2 \theta - \cot 2 \theta = ?$

$\tan \frac{\pi}{8}$ का मान क्या है?

यदि $\cos^3 \theta + \cos^3 \left(\frac{2 \pi}{3} + \theta\right) + \cos^3 \left(\frac{4 \pi}{3} + \theta\right) = \alpha \cos 3 \theta$ है,तो $\alpha$ का मान ज्ञात कीजिए।

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