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How do you convert (5, -4) into polar coordinates?

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1 Answer

Nov 7, 2015

#sqrt41 /_ - 38,66^@#

Explanation:

For a general complex number in rectangular form #(x,y)#, the polar form is #r/_theta#, where #r=sqrt(x^2+y^2)# and #theta=tan^(-1)(y/x)#.

So in this case, #r=sqrt(5^2+4^2)=sqrt41#.

#theta=tan^(-1)(-4/5)=-38,66^@.#

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