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

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Answer 1 · 2016-03-28T22:07:00

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

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 $(2*sqrt(2),2*sqrt(2))$ .

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