[Math] Degrees or radians for angle in complex equation

complex numbers

If you were asked to convert a complex equation to polar form :

$r\cos(\theta) + ir\sin(\theta)$

Does the angle have to be in radians for the value of theta or can the angle be in degrees too ?

In which form would the angle have to be in radians ?

Best Answer

Generally speaking, when you are doing calculus, only use radians, otherwise derivatives require an annoying conversion factor.

(In the case at hand, it doesn't make a difference, but it is unnatural to use degrees.)

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