Question

Find the rectangular coordinates of the point with the polar coordinates (3,3/2_ )

Answer 1

Polar coordinates:
`(r,\theta)`


`r=3,\theta= (3\pi)/(2)`

Rectangular coordinates:
`(x,y)=(r cos(\theta),r sin(\theta))`


`x=r cos(\theta)=3 \cos{ (3\pi)/(2) }=3 * 0=0 \\ y=r sin(\theta)=3 \sin{ (3\pi)/(2) }=3 * (-1)=-3`

Rectangular coordinates are (0,-3).