Question

A point is graphed in polar form. Find its rectangular coordinates.

http://www.webassign.net/sprecalc6/8-1-026.gif

Answer 1

Because the radius is 1 we're dealing with the unit circle. The angle 5pi/6 is in radians so when we convert it to degrees we get 150 degrees. The unit circle says that at 150 degrees cos is sqrt(3)/2 and sin is 1/2 so the rectangular coor are (sqrt(3)/2, 1/2).

Answer 2

I got that but it was wrong.

Answer 3

to convert from polar to rectangular, use:\[x=r\cos(\theta)\]\[y=r\sin(\theta)\]here we have \(r=1\) and \(\theta=\frac{5\pi}{6}\), so we get:\[x=1*\cos(\frac{5\pi}{6})=\frac{-\sqrt{3}}{2}\]\[y=1*\sin(\frac{5\pi}{6})=\frac{1}{2}\]