Question

решите уравнение sin2x = sin( Π/2 + x )

Answer 1

$sin 2x=sin( frac{ pi }{2} +x) \ sin 2x=cos x \ 2sin xcos x-cos x=0 \cos x(2sin x-1)=0 \ \ left[begin{array}{ccc}cos x=0\sin x= frac{1}{2} end{array}rightto left[begin{array}{ccc}x_1= frac{ pi }{2} + pi n, n in Z\x_2=(-1)^ncdot frac{ pi }{6}+ pi n, n in Z end{array}right$

Answer 2

спасибо