Question

What is the Cartesian form of `(-15,(-pi)/4))`?

Answer 1

`x=(-15*sqrt2)/2` and `y=(+15*sqrt2)/2`

Explanation:

The formulas to be used are

`x=r*cos theta`
`y=r*sin theta`

`x=-15*cos (-pi/4)=-15*(+sqrt2)/2=(-15*sqrt2)/2`

and

`y=-15*sin (-pi/4)=-15*(-sqrt2)/2=(+15*sqrt2)/2`

God bless....I hope the explanation is useful.