Question

Решите sin^2(x)-(√2/2)sin(x)=0

Answer 1

$sin^2x-frac{sqrt2}{2}sinx=0\sinx(sinx-frac{sqrt2}{2})=0\\1)sinx=0\x=pi n, ; nin Z;\\2)sinx-frac{sqrt2}{2}=0\sinx=frac{sqrt2}{2}\x=arcsinfrac{sqrt2}{2}+2pi k\x=frac{pi}{4}+2pi k, ; kin Z.$