Question

1.arcsin√2/2
2.arcsin(-1/2)
3.arccos(-1/2)
4.arctg√3
5.sin2x=√2/2
6.cos3x=1
7.tgx/2=1
8.ctg4x=0

Answer 1

1.arcsin√2/2=π/4
2.arcsin(-1/2)=-π/4
3.arccos(-1/2)=2π/3
4.arctg√3=π/3
5.sin2x=√2/2
2x=(-1)^n*π/4+πn
x=(-1)^n*π/8+πn/2
6.cos3x=1
3x=2πn
x=2πn/3
7.tgx/2=1
x/2=π/4+πn
x=π/2+2πn
8.ctg4x=0
4x=π/2+πn
x=π/8+πn/4