Question

What is the Cartesian form of `( -4 , (-3pi)/4 )`?

Answer 1

`(2sqrt2,2sqrt2)`

Explanation:

`(r,theta)to(x,y)=>(rcostheta,rsintheta)`

`x=rcostheta=-4cos(-(3pi)/4)=2sqrt2`

`y=rsintheta=-4sin(-(3pi)/4)=2sqrt2`

`(-4,-(3pi)/4)->(2sqrt2,2sqrt2)`