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Thread: example to trigonometric function in Riemann Sphere

  1. #1
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    example to trigonometric function in Riemann Sphere

    Can one give example or picture to how the trigonometric functions (for example, sinus) are presented in Riemann Sphere?
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  2. #2
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    Re: example to trigonometric function in Riemann Sphere

    Exactly the same as in the complex plane since there is no value where $\sin x$ is undefined. Trigonometric functions like $\sec x$, $\csc x$, $\tan x$, and $\cot x$ look exactly the same, as well, but they become continuous in the Riemann Sphere.
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