1. arcsin (- 1/2) = - arcsin 1/2 = - π/6
arccos √3/2 = π/6
- π/6 < π/6, ⇒
arcsin (- 1/2) < arccos √3/2
2. arccos 1/2 = π/3
arcsin √3/2 = π/3
arccos 1/2 = arcsin √3/2
3. arcctg √3 = π/6
arcsin 1 = π/2
π/6 < π/2, ⇒
arcctg √3 < arcsin 1
4. arccos (- 1/2) = π - arccos 1/2 = π - π/3 = 2π/3
arcctg 1 = π/4
2π/3 > π/4, ⇒
arccos (- 1/2) > arcctg 1
1. arcsin (- 1/2) = - arcsin 1/2 = - π/6
arccos √3/2 = π/6
- π/6 < π/6, ⇒
arcsin (- 1/2) < arccos √3/2
2. arccos 1/2 = π/3
arcsin √3/2 = π/3
arccos 1/2 = arcsin √3/2
3. arcctg √3 = π/6
arcsin 1 = π/2
π/6 < π/2, ⇒
arcctg √3 < arcsin 1
4. arccos (- 1/2) = π - arccos 1/2 = π - π/3 = 2π/3
arcctg 1 = π/4
2π/3 > π/4, ⇒
arccos (- 1/2) > arcctg 1