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$\cos 36^{\circ} - \cos 72^{\circ}$ का मान ज्ञात कीजिए।

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

$\sin 120^{\circ} \cos 150^{\circ} - \cos 240^{\circ} \sin 330^{\circ}$ का मान ज्ञात कीजिए :

व्यंजक $\frac{\tan \left( \frac{3\pi}{2} - \alpha \right) \cos \left( \frac{3\pi}{2} - \alpha \right)}{\cos (2\pi - \alpha )} + \cos \left( \alpha - \frac{\pi}{2} \right) \sin (\pi - \alpha ) + \cos (\pi + \alpha ) \sin \left( \alpha - \frac{\pi}{2} \right)$ का सरलीकृत रूप क्या है?

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त्रिकोणमितीय फलन $\tan \frac{19 \pi}{3}$ का मान ज्ञात कीजिए।

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