How do you convert the Cartesian coordinates (-6, 13) to polar coordinates?

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1 Answer
bp
Aug 18, 2015

#(sqrt205, arctan-6/13)#

Explanation:

Using polar coordinates, it would be rcos#theta#= -6 and r sin#theta#=13.

Squaring and adding both these equations would give #r^2=13^2 +6^2#, that is r= #sqrt205#

Dividing these equations would give tan#theta= -6/13#, that is #theta#= arc tan#(-6/13)#. The polar coordinates are written as (r, #theta#), hence we can write (-6, 13) accordingly.

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