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anchit saini (4396)

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\tan (\cot x)= \tan (\frac{\pi}{2} - \tan x) \\ \\<br/>or \\ \\<br/>\cot x = n\pi + \frac{\pi}{2} - \tan x \\ \\<br/>\tan x + \cot x = \frac{2n\pi + \pi}{2} \\ \\<br/>\frac{1}{\sin x \cos x}=(2n+1)\frac{\pi}{2}  \\ \\<br/>or \\ \\<br/>\sin x \cos x=\frac{2}{(2n+1)\pi } \\ \\<br/>hence \\ \\<br/>\sin 2x=\frac{4}{(2n+1)\pi }


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