Question

What is the Cartesian form of `( 2 , ( 15pi)/2 )`?

Answer 1

`(0,-2)`

Explanation:

Whereas Cartesian coordinates follow the form `(x,y)`, polar coordinates follow the form `(r,theta)`, where `r` is the radius and `theta` is the angle. To convert from polar to Cartesian form given both `r` and `theta`, use `x=rcos(theta)` and `y=rsin(theta)`.

`x=rcos(theta)`
`x=2cos((15pi)/2)`
`x=0`

`y=rsin(theta)`
`y=2sin((15pi)/2)`
`y=-2`

Thus, the Cartesian form of `(2, (15pi)/2)` is `(0,-2)`.