How do you find the rectangular coordinates of the point with polar coordinates #(5,pi/2)#?
1 Answer
Aug 24, 2014
To convert from from polar coordinates to rectangular coordinates, we must remember these:
#x = rcostheta#
#y = rsintheta#
It's useful to remember these when we need to do these types of conversions. Knowing the
#r=5#
#theta=pi/2#
#x=(5)cos(pi/2) = (5)(0) = 0#
#y=(5)sin(pi/2) = (5)(1) = 5#
Therefore, our rectangular coordinates are:
#(0,5)#