3^sin²x+3^sin²x=4 then |sinx|+|cosx| – InterviewSolution

1.

3^sin²x+3^sin²x=4 then |sinx|+|cosx|

Answer»

$\frac{ \sqrt{2} + <klux>1</klux>}{ \sqrt{<klux>3</klux>} }$

Step-by-step explanation:

$6 {sin}^{2}x \: = 4$

$so \: sinx = \sqrt{ \frac{2}{3} }$

$cosx = \sqrt{ \frac{1}{3} }$

therefore |sinx| + |cosx| = 2*1/2 + 1/ 3*1/2

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