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$\sin^{2}\left(\frac{\pi}{8}\right)$ का मान =

सिद्ध कीजिए कि $\tan 4x = \frac{4 \tan x (1 - \tan^2 x)}{1 - 6 \tan^2 x + \tan^4 x}$.

$cot\, x + cot\, (60^\circ + x) + cot\, (120^\circ + x)$ का मान ज्ञात कीजिए:

$\cos x \cdot \cos 7 x - \cos 5 x \cdot \cos 13 x = $

मान ज्ञात कीजिए: $\sin(22 \frac{1}{2}^{\circ})$

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