Question

已知点的直角坐标分别为﹙3,√3﹚,﹙0﹣,√5／3﹚,﹙7／2,0﹚,﹙﹣2,﹣2√3﹚,求它们的极坐标

Answer 1

﹙3,√3﹚

ρ=√(9+3)=2√3

θ=arcsin(√3/(2√3))=π/6

﹙0﹣,√5／3﹚

ρ=√5/3

θ=π/2

﹙7／2,0﹚

ρ=7/2

θ=0

﹙﹣2,﹣2√3﹚

ρ=√(4+12)=4

θ=arcsin(-2√3/4)=arcsin(-√3/2)=π+π/3