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## Homework Statement:

- Graph ##θ=\frac{π}{4}## on a Polar Coordinate System.

## Homework Equations:

- Why does the line go into the opposite quadrant as well?

When you graph something like ##θ=\frac{π}{4}## on a Polar Coordinate System:

Why does the line go into the opposite quadrant as well?

I can intuitively understand why it is in the first quadrant: ##θ = 45°## there and so all possible values of ##r## would apply there, giving you a straight line headed outwards at an angle of ##45°##.

So, why does the line go into the opposite quadrant as well?

Isn't ##r## always positive? Or, is that something we define beforehand as being either positive or negative?

Why does the line go into the opposite quadrant as well?

I can intuitively understand why it is in the first quadrant: ##θ = 45°## there and so all possible values of ##r## would apply there, giving you a straight line headed outwards at an angle of ##45°##.

So, why does the line go into the opposite quadrant as well?

Isn't ##r## always positive? Or, is that something we define beforehand as being either positive or negative?