Помогите решить. * > = больше либо равно

sinx>=корень2/2

sinx>=1/2

sinx< - (корень3/2)

sinx< - (корень2/2)

1) sinx ≥ √2/2

arcsin (√2/2) + 2πn ≤ x ≤ π - arcsin (√2/2) + 2πn, n∈Z

π/4 + 2πn ≤ x ≤ π - π/4 + 2πn, n∈Z

π/4 + 2πn ≤ x ≤ 3π/4 + 2πn, n∈Z

2) sinx ≥ 1/2

arcsin (1/2) + 2πn ≤ x ≤ π - arcsin (1/2) + 2πn, n∈Z

π/3 + 2πn ≤ x ≤ π - π/3 + 2πn, n∈Z

π/3 + 2πn ≤ x ≤ 2π/3 + 2πn, n∈Z

3) sinx< - √3/2

- π - arcsin (- √3/2) + 2πn < x < arcsin (- √3/2) + 2πn, n∈Z

-π + π/3 + 2πn < x < - π/3 + 2πn, n∈Z

-2π/3 + 2πn < x < - π/3 + 2πn, n∈Z

4) sinx < - (√2/2)

- π - arcsin (- √2/2) + 2πn < x < arcsin (- √2/2) + 2πn, n∈Z

- π + π/4 + 2πn < x < - π/4 + 2πn, n∈Z

- 3π/4 + 2πn < x < - π/4 + 2πn, n∈Z