Question

What is the polar form of `( 11,55 )`?

Answer 1

Rectangular `(x,y)=(11,55) rarr` Polar: `(r,theta)~~(56.09,78.69^circ)`

Explanation:

`tan(theta)="opposite"/"adjacent" rarr theta = "arctan"("opposite"/"adjacent")`

`theta = "arctan"(55/11)="arctan"(5)~~1.3734 ("radians) or 78.69^circ`

By Pythagorean Theorem:
`r=sqrt(11^2+55^2)~~56.09`