Question

How do you convert `x=2` into polar form?

Answer 1

I found: `r=2/cos(theta)`

Explanation:

Consider the "conversion" diagram between Cartesian and Polar:

`"POLAR"->"CARTESIAN"`
You can see that from Pythagoras: `r=sqrt(x^2+y^2)` and from Trigonometry: `theta=arctan(y/x)`.

OR

`"CARTESIAN"->"POLAR"`
From rigonometry:
`x=rcos(theta)`
`y=rsin(theta)`

Let us consider our expression:
`x=2`
let us use our second transformation formulas in the form: `x=rcos(theta)`
to get:
`rcos(theta)=2`
and:
`r=2/cos(theta)`