1.

Sin2x=1/5 then sinx + cosx =

Answer»
{( \sin(x) + \cos(x) ) }^{2} = { \sin }^{2}x + { \cos}^{2} x + 2 \sin(x) \cos(x) \\ {( \sin(x) + \cos(x) ) }^{2} = 1 + 2 \sin(x) \cos(x) \\ {( \sin(x) + \cos(x) ) }^{2} = 1 + \sin(2x) \\ {( \sin(x) + \cos(x) ) }^{2} = 1 + \frac{1}{5} = \frac{6}{5} \\ therefore \\ \sin(x) + \cos(x) = \sqrt{ \frac{6}{5} }


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