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Trignometry

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3 May 2008 06:15:34 IST

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AGNISH DEV PRUSTY

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3 May 2008 06:17:00 IST

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tan( cot x) = cot ( tan x ) . THEN sin 2x =?

seraphic

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3 May 2008 06:43:48 IST

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is it 4/ $\pi$

anchit saini

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3 May 2008 08:43:55 IST

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

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