Question

What is the Cartesian form of `(2,(3pi)/4)`?

Answer 1

`( -sqrt(2), sqrt(2) )`

Explanation:

The Cartesian equivalent of the polar coordinate `(r, theta)` is `(rcos theta, r sin theta)`

So, `(2, (3pi)/4)` is equivalent to:

`(2, (3pi)/4) rarr (2cos((3pi)/4), 2sin((3pi)/4))`
`" " =(2(-sqrt(2)/2), 2(sqrt(2)/2) )`
`" " =( -sqrt(2), sqrt(2) )`