Question

How do you convert `(-4, (5pi/4))` to rectangular form?

Answer 1

The conversion from polar to rectangular form is: `(r*sin(theta), r*cos(theta))`.

Explanation:

For the x-value, `-4*cos((5*pi)/4)=-4*(-(sqrt(2))/2)=2*sqrt(2)`.
For the y-value, `-4*sin((5*pi)/4)=-4*(-(sqrt(2))/2)=2*sqrt(2)`.

Therefore, the coordinates are `(2*sqrt(2),2*sqrt(2))`.