For the given point in rectangular coordinates, how do you find the corresponding polar coordinates for the point #(10 sqrt (3), 10)#?
1 Answer
Jun 10, 2016
Explanation:
To convert from (x ,y) to
#(r,theta)# use the formulae which connect Cartesian to Polar coordinates.
#•r=sqrt(x^2+y^2)#
#•theta=tan^-1(y/x)# here x
#=10sqrt3" and "y=10#
#rArrr=sqrt((10sqrt3)^2+10^2)=sqrt(300+100)=sqrt400=20# and
#theta=tan^-1(10/(10sqrt3))=tan^-1(1/sqrt3)=pi/6#
#rArr(10sqrt3,10)→(20,pi/6)#
