How do you convert x=3 to polar form?
2 Answers
Oddly enough the point
Explanation:
This is a somewhat incomplete question.
Do you mean express the point written in Cartesian coordinates as x=3 y=0 or (3,0) in polar coordinates or the vertical line x=3 as a polar function?
I'm going to assume the simpler case.
Expressing (3,0) in polar coordinates.
polar coordinates are written in the form
The distance from (3,0) to the origin at ( 0,0) is 3.
The positive x-axis is normally treated as being
Formally this is because the
Recall,
Thus
It can be expressed:
r cos theta = 3
Or if you prefer:
r = 3 sec theta
Explanation:
To convert an equation in rectangular form to polar form you can substitute:
x = r cos theta
y = r sin theta
In our example
If you divide both sides by
r = 3/cos theta = 3 sec theta