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How do you convert the cartesian coordinate (−1, 5) into polar coordinates?

1 Answer

Jan 13, 2016

#sqrt26/_-78.7^@#

Explanation:

To convert a rectangular co-ordinate #(x,y)# into a polar co-ordinate #(r,theta)#, we make use of the following transformations :

#r=sqrt(x^2+y^2) and theta=tan^(-1)(y/x)#.

So in this case, #r=sqrt(1^2+5^2)=sqrt26#

#theta=tan^(-1)(5/(-1))=-78.7^@#.

Therefore the polar form will be #sqrt26/_-78.7^@#.

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