Question

What is the Cartesian form of `( -7 , (-35pi)/12 )`, where the original coordinates are in polar?

Answer 1

The point is: `(6.76,1.81)`

Explanation:

To convert to Cartesian, use the equations:

x = `rcos(theta)` and `y = rsin(theta)`

We are given: `r = -7` and `theta = (-35pi)/12`

x = `-7cos((-35pi)/12)` and `y = -7sin((-35pi)/12)`

`x ~~ 6.76` and `y ~~ 1.81`