Question

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

Answer 1

`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^@.`