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$\cot (45^\circ + \theta ) \cot (45^\circ - \theta ) = $

सिद्ध कीजिए कि: $\cot ^{2} \frac{\pi}{6} + \csc \frac{5 \pi}{6} + 3 \tan ^{2} \frac{\pi}{6} = 6$

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

यदि $\sin \theta = -\frac{1}{\sqrt{2}}$ और $\tan \theta = 1$ है,तो $\theta$ किस चतुर्थांश में स्थित है?

$1+\sec ^2 x \sin ^2 x=$

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