Question

sinx+cosx=корень из 2/2

Answer 1

$sqrt{2} sin(x+phi)= frac{ sqrt{2} }{2} , tg phi = frac{1}{1} =1\ sin(x+phi)= frac{ 1}{2}\ x+phi = (-1)^{n} frac{ pi }{6}+ pi n, n in Z\ x=(-1)^{n} frac{ pi }{6}-arctg1+ pi n, n in Z\ x=(-1)^{n} frac{ pi }{6}-frac{ pi }{4}+ pi n, n in Z.$