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

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

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Answer 1 · 2016-07-29T21:22:28

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

Explanation:

Consider the "conversion" diagram between Cartesian and Polar:
enter image source here

$"POLAR"->"CARTESIAN"$
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:
$r=2/cos(theta)$

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