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In physics is usually defined that in cylindrical coordinates ##\varphi \in [0,2 \pi)##. In relation with Deckart coordinates it is usually written that

[tex]\varphi=\text{arctg}(\frac{y}{x})[/tex].

Problem is of course because arctg takes values from ##-\frac{\pi}{2}## to ##\frac{\pi}{2}##. What is the best way to solve this?

[tex]\varphi=\text{arctg}(\frac{y}{x})[/tex].

Problem is of course because arctg takes values from ##-\frac{\pi}{2}## to ##\frac{\pi}{2}##. What is the best way to solve this?

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