Question

√2sin²(π/2+х)= sin( 3π/2+x)

Answer 1

$sqrt{2} cos ^{2 } x=cosx cosx(sqrt{2} cosx-1)=0 cosx=0, cosx=1/ sqrt{2} x= pi /2+ pi n. x= pi /4+2 pi n x=- pi /4+2 pi n$