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मान ज्ञात कीजिए: $\sin ^2\frac{\pi }{8} + \sin ^2\frac{3\pi }{8} + \sin ^2\frac{5\pi }{8} + \sin ^2\frac{7\pi }{8} = $

सिद्ध कीजिए कि $\frac{\cos (\pi+x) \cos (-x)}{\sin (\pi-x) \cos (\frac{\pi}{2}+x)} = \cot^{2} x$.

$\frac{\cos 10^{\circ} + \cos 80^{\circ}}{\sin 80^{\circ} - \sin 10^{\circ}} = ?$

यदि $\cot (A+B)=0$ है,तो $\sin (A+2 B)$ का मान क्या होगा?

निम्नलिखित डिग्री माप के संगत रेडियन माप ज्ञात कीजिए: $-47^{\circ} 30^{\prime}$.

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