Trigonometric Series

Trigonometric series express trig functions as power series—central to analysis and applications.

主要内容

This section covers:

1. Sine series: power series of $\sin x$
2. Cosine series: power series of $\cos x$
3. Tangent series: power series of $\tan x$
4. Arctangent series: power series of $\arctan x$

学习建议

• Start with sine and cosine as the foundations.
• Use the ratio test to justify convergence.
• Practice evaluating function values via series.
• Note each series’ interval of convergence.