Question 737735
(Sin x+ cos x)^2=2

sin^2(x)+cos^2(x)+2sinxcosx=2

1+2sinx cosx=2

2sinx cos x=1

sin(2x) =1/2

Sin {{{theta}}}=1/2 => {{{theta = pi/6}}}

{{{2x= pi/6}}}

{{{x=pi/12}}}