Question

What is the Cartesian form of `(100,(7pi )/12)`?

Answer 1

`x=rcostheta`
`y=rsintheta`

Explanation:

First, note that `(7pi)/12` is in Quadrant II which means the x-coordinate will be negative and the y-coordinate positive .

Using the identity above ...

`x=100cos((7pi)/12)~~-25.88`
`y=100sin((7pi)/12)~~96.59`

Cartesian Form: `(-25.88,96.59)`

hope that helped