Question

What is the polar form of `( -3,-34 )`?

Answer 1

`sqrt(1165)cis(-1.66)`

Explanation:

Short way: Use to Pol button on your calculator and enter the coordinates.

If `z` is the complex number,
`|z|=sqrt((-3)^2+(-34)^2)=sqrt(1165)`
`arg(z)=pi+tan^-1((-34)/-3)-2pi=-1.66->`point is in the third quadrant, subtracted `2pi` to get the principal argument

`:.z=sqrt(1165)cis(-1.66)`