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સાબિત કરો કે $\cos \left(\frac{3 \pi}{2}+x\right) \cos (2 \pi+x)\left[\cot \left(\frac{3 \pi}{2}-x\right)+\cot (2 \pi+x)\right]=1$.

જો $x \neq 0$ હોય,તો $\frac{\sin (\pi+x) \cos (\frac{\pi}{2}+x) \tan (\frac{3 \pi}{2}-x) \cot (2 \pi-x)}{\sin (2 \pi-x) \cos (2 \pi+x) \operatorname{cosec}(-x) \sin (\frac{3 \pi}{2}+x)} = $

$\sin 600^\circ \cos 330^\circ + \cos 120^\circ \sin 150^\circ$ ની કિંમત શોધો.

જો $\sec x + \tan x = 3, x \in (0, \frac{\pi}{2})$ હોય,તો $\sin x =$

$\sin 50^\circ - \sin 70^\circ + \sin 10^\circ = $

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