Question

What is the Cartesian form of `(-21,(88pi) /12)`?

Answer 1

polar form: `(-21,(88pi)/12) <=>` Cartesian form: `(21/2,(21sqrt(3))/2)`

Explanation:

`(88pi)/12= (84pi)/12+(4pi)/12= 3(2pi)+pi+pi/3`

Polar form: `(-21,(88pi)/12) = (-21,pi+pi+3)=(21,pi/3)`

`r=21`
`theta=pi/3`

`x=rxxcos(theta)= 21xx1/2 = 21/2`

`y=rxxsin(theta) = 21xxsqrt(3)/2= (21sqrt(3))/2`