# What is the polar form of #(2,3)#?

##### 1 Answer

Mar 17, 2016

#### Explanation:

To write in polar form, you need to know

- the distance from the point to the origin
- the angle the line passing through it and the origin makes with the positive
#x# axis.

To solve 1. we use Pythagoras Theorem

#r = sqrt{2^2 + 3^2}#

#= sqrt13#

To solve 2. we first find the quadrant that the point lies in.

#x# is positive and#y# is positive#=># quadrant I

Then we can find the angle by directly taking inverse tangent of

#theta = tan^{-1}(3/2)#

#~~ 0.983# (in radians)

Therefore, the polar coordinate is

Note that the answer above is not unique. You can add any integer multiples of