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सिद्ध कीजिए कि $\cos \left(\frac{3 \pi}{2}+x\right) \cos (2 \pi+x)\left[\cot \left(\frac{3 \pi}{2}-x\right)+\cot (2 \pi+x)\right]=1$.

यदि $\operatorname{cosec} \theta + \cot \theta = \frac{1}{3}$ है,तो $\theta$ किस चतुर्थांश में स्थित है?

यदि $\cos(\alpha + \beta) = 0$ है,तो $\sin(\alpha + 2\beta) =$

यदि $A$ और $B$ संपूरक कोण हैं,तो $\sin^{2} \frac{A}{2} + \sin^{2} \frac{B}{2} =$

व्यंजक $2 \cot^2 \theta - \cot \theta - 3$ का गुणनखंड कीजिए।

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