Cos2x-2sinx+2=0 gjvjubnt нужно срочно

Question

Cos2x-2sinx+2=0 gjvjubnt нужно срочно

Answer 1

Cos^2x - sin^2x - 2sinx +2 = 0

cos^2x - sin^2x -2sinx +2sin^2x + 2cos^2x=0
-2sinx+sin^2x+cos^2x=0
-2sinx +1 =0
-2sinx= -1
sinx = 1/2
x= (-1)^n arcsin1/2 + pn, n е z;
x= p/6 +pn, n e z