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For the given point in rectangular coordinates, how do you find the corresponding polar coordinates for the point #(10 sqrt (3), 10)#?

Answer 1

Nolan Alexander

#(20,pi/6)#

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)#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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