Question

What is the Cartesian form of `(-9,(3pi )/4)`?

Answer 1

The answer is `=(9sqrt2/2,-9sqrt2/2)`

Explanation:

We apply the equations to go from polar coordinates `(r,theta)` to cartesian coordinates `(x,y)`

`x=rcostheta`

`y=rsintheta`

Therefore,

`x=-9*cos((3pi)/4)=-9*-sqrt2/2=9sqrt2/2`

`y=-9sin((3pi)/4)=-9*sqrt2/2=-9sqrt2/2`