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व्यंजक $[1 - \sin(3\pi - \alpha) + \cos(3\pi + \alpha)] [1 - \sin(\frac{3\pi}{2} - \alpha) + \cos(\frac{5\pi}{2} - \alpha)]$ को सरल करने पर क्या प्राप्त होता है?

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$\left(\frac{\sin 35^{\circ}}{\cos 55^{\circ}}\right)^2+\left(\frac{\cos 55^{\circ}}{\sin 35^{\circ}}\right)^2-2 \cos 30^{\circ}=$

$\sin 600^\circ \cos 330^\circ + \cos 120^\circ \sin 150^\circ$ का मान है

निम्नलिखित डिग्री माप के संगत रेडियन माप ज्ञात कीजिए: $520^{\circ}$

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

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