1) cosX=-1

2) sin2X=√3/2

3) 3ctg X/3=√3

4) 2sin (X/2+П/8) + √2=0

5) (1+cosX) (3-2cosX) = 0

знак "/" это дробь

1) cosX=-1

x = π+2πk, k∈z

2) sin2X=√3/2

2x = (-1) ^k * π/3+πk

x = (-1) ^k * π/6+πk/2, k∈z

3) 3ctg X/3=√3

ctgx/3 = √3/3

x/3 = π/6+πk

x = π/2+3πk, k∈z

4) 2sin (X/2+П/8) + √2=0

sin (x/2 + π/8) = - √2/2

x/2 + π/8=-π/4+2πk U x/2+π/8=-3π/4+2πk

x/2=-3 π/8+2πk U x/2=-7π/8+2πk

x=-3 π/4+4πk U x=-7π/4+4πk, k∈z

5) (1+cosX) (3-2cosX) = 0

1+cosx=0

cosx=-1

x = π+2πk, k∈z

3-2cosx=0

cosx=1,5>1 нет решения