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Prove the following :tan x + cot x = 2 cosec 2x |
Answer» L.H.S. = tan x + cot x = \(\frac {sin\,x}{cos\,x} + \frac {cos\,x}{sin\, x}\) = \(\frac {sin^2x+cos^2x}{sin\,x\,cos\,x}\) = \(\frac{1}{sin\,x\,cos\,x}=\frac{2}{2sin\,x\,cos\,x}\) =\(\frac{1}{sin\,2x}\) = 2 cosec 2x = R.H.S |
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