Find the rectangular coordinates of the points with the foll

Find the rectangular coordinates of the points with the following polar coordinates. Show all work.

a) (-2, -pi/4)

b) (3, 150 degrees)

a) (-2,-pi/4)

x=R cos theta y=R sin theta

here theta=-pi/4 and R=-2

x=-2cos(-pi/4)=-1.414 y=-2sin(-pi/4)=1.414

Therefore rectangular coordinate is (-1.414,1.414)

b. (3,150)

x=3 cos 150 and y=3 sin150

x=-2.598 y= 1.5

Therefore rectangular coordinate= (-2.598,1.5)