2sinx= -1 2cos2x= -2 из кореня 2 sinx=1 sin 2x=1 sin

1. 2sinx = -1;

sinx = -1/2;

x = (-1)^n * arcsin (-1/2) + pi * n, n Z;

x = (-1)^n * 7pi/6 + pi * n, n Z.

2. 2cos2x = -2 sqrt2;

cos2x = -sqrt2;

2x = +- arccos (-sqrt2) + 2pi * n, n Z;

x = +- arccos (-sqrt2/2) + pi * n, n Z;

x = +- 3pi/4 + pi * n, n Z.

3. sinx=1;

x = pi/2 + 2pi * n, n Z.

4. sin 2x=1;

2х = pi/2 + 2pi * n, n Z;

x = pi/4 + pi * n, n Z.

5. sin x/2 = 1;

x/2 = pi/2 + 2pi * n, n Z;

x = pi + 4 pi * n, n Z.

6. 2sin x/2=1;

sin x/2 = 1/2;

x/2 = (-1)^n * arcsin 1/2 + pi * n, n Z;

x/2 = (-1)^n * pi/6 + pi * n, n Z;

x = (-1)^n * pi/3 + 2pi * n, n Z.