# Thread: example to trigonometric function in Riemann Sphere

1. ## 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?

2. ## 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.