Question

What is the Cartesian form of `(100,(17pi)/16))`?

Answer 1

The given point is in polar coordinates `(r,theta)` form and the cartesian coordinates are obtained by `(rcos(theta),rsin(theta))` The working is given below.

Explanation:

`(100,(17pi)/16)`
`r=100` and `theta=(17pi)/16`

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

`x=100cos((17pi)/16)` and `y=100sin((17pi)/16)`

The cartesian form is

`(100cos((17pi)/16),100sin((17pi)/16))`

We can find approximate value using calculator and that works out to be

`(-98.0785, -19.5090)` Answer