Continuity of Trigonometric Functions

This lecture covers the continuity of trigonometric functions, focusing on showing that the sine and cosine functions are continuous on the real numbers. It explains how to demonstrate the continuity of these functions at any given point in R, verifying limits such as lim sin x = sin and lim cos x = cos. The lecture also discusses the length comparison between the chord and arc defined by the sine and cosine functions, providing insights into specific limits and propositions related to trigonometric functions. Additionally, it explores the continuity of reciprocal functions and showcases examples and solutions to calculate limits involving trigonometric functions.