Question

What is the Cartesian form of `(66,(-31pi)/16))`?

Answer 1

`color(magenta)("Cartesian form " x = 64.73, y = 12.88`

Explanation:

`"Given " r = 66, theta = (-(31pi)/16)^c, (" I Quadrant")`

`color(magenta)(x =) r cos theta = 66 * cos ((-31pi)/16) ~~ color(magenta)(64.73`

`color(magenta)(y =) r sin theta = 66 * sin ((-31pi)/16) ~~ color(magenta)(12.88`