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

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;

2 х = 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.