Question

Корень из 2 sin^2 x + cos( p/2 + x) = 0

Answer 1

$\sqrt{2}sin^2x-sinx=0\\sinx( \sqrt{2}sinx-1)=0\\\\sinx=0\\x= \pi n, n\in Z\\\\ \sqrt{2}sinx-1=0\\ \sqrt{2}sinx=1\\sinx= \frac{1}{ \sqrt{2} }\\sinx= \frac{ \sqrt{2} }{2}\\x=(-1)^k* \pi /4+ \pi k, k\in Z$