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$\cos 1^\circ + \cos 2^\circ + \cos 3^\circ + \dots + \cos 180^\circ = $

$\sin \frac{\pi}{5} + \sin \frac{2\pi}{5} + \sin \frac{3\pi}{5} + \sin \frac{4\pi}{5} =$

$\cos 1^\circ \cdot \cos 2^\circ \cdot \cos 3^\circ \cdot \dots \cdot \cos 179^\circ = $

व्यंजक $\frac{\tan(x - \frac{\pi}{2}) \cdot \cos(\frac{3\pi}{2} + x) - \sin^3(\frac{7\pi}{2} - x)}{\cos(x - \frac{\pi}{2}) \cdot \tan(\frac{3\pi}{2} + x)}$ का सरलीकृत रूप है:

यदि $\sin (\alpha - \beta ) = \frac{1}{2}$ और $\cos (\alpha + \beta ) = \frac{1}{2}$ है,जहाँ $\alpha$ और $\beta$ धनात्मक न्यून कोण हैं,तो:

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