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

1 Answer
Trevor Ryan.
Jan 13, 2016

sqrt26/_-78.7^@√26∠−78.7∘

Explanation:

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

r=sqrt(x^2+y^2) and theta=tan^(-1)(y/x)r=√x2+y2andθ=tan−1(yx).

So in this case, r=sqrt(1^2+5^2)=sqrt26r=√12+52=√26

theta=tan^(-1)(5/(-1))=-78.7^@θ=tan−1(5−1)=−78.7∘.

Therefore the polar form will be sqrt26/_-78.7^@√26∠−78.7∘.

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