Question

Which set of rectangular coordinates describes the same location as thepolar coordinates (3-√2,57)?O A. (-3,-3)O B. (-3√2,3√√2)O C. (3,-3)O D. (-3,3)

Answer 1

The formula to convert to rectangular coordinates is,

`(rcos\theta,rsin\theta)=(x,y)`

Given

`(r,\theta)=(3√(2),(5\pi)/(4))`

Therefore,

`\begin{gathered} x=3√(2)cos((5\pi)/(4))=-3 \\ y=3√(2)sin((5\pi)/(4))=-3 \end{gathered}`

Hence, (x,y) = ( -3, -3 ) (Option A)