The discussion centers on the evaluation of tan(π/2) and its classification as complex infinity rather than simply infinity or undefined. Participants clarify that the interpretation of tan(π/2) varies based on the mathematical framework being used. In the context of real numbers, tan(π/2) is undefined; in extended real numbers, it is considered infinity; and within the Riemann sphere, it is classified as complex infinity. This distinction is crucial for understanding the behavior of trigonometric functions in different mathematical systems.
PREREQUISITESStudents of mathematics, particularly those studying calculus and complex analysis, as well as educators explaining the nuances of trigonometric functions and their interpretations in different mathematical contexts.
GreenPrint said:Homework Statement
Hi,
I have just now come to the realization that tan(pi/2) is not infinity but complex infinity. I was wondering why and can't seem to find the answer. I was told all through high school that tan(pi/2)=infinity or undefined but not complex infinity.
Homework Equations
The Attempt at a Solution