- #1
Is the Highlighted Portion a Mistake and Where Does the PI Go?
- Thread starter Turion
- Start date
-
- Tags
- Mistake
Click For Summary
Discussion Overview
The discussion revolves around a potential mistake in a mathematical expression involving trigonometric functions, specifically focusing on the placement of π (pi) and the periodicity of sine and cosine functions. Participants explore the implications of these concepts in the context of the highlighted portion of the expression.
Discussion Character
- Debate/contested
- Mathematical reasoning
Main Points Raised
- One participant questions whether the highlighted portion in the expression is a mistake.
- Another participant provides a transformation of the cosine function, suggesting that \(\cos(4(t+\pi))\) simplifies to \(\cos(4t)\).
- A participant reminds others that sine and cosine functions are periodic with a period of \(2k\pi\), where \(k\) is an integer.
- A later reply acknowledges a previous point and suggests that the period is \(2\pi/k\), where \(k\) is the coefficient of \(t\).
Areas of Agreement / Disagreement
Participants express differing views on the correctness of the highlighted portion and the implications of periodicity in trigonometric functions. No consensus is reached regarding whether the highlighted portion is indeed a mistake.
Contextual Notes
The discussion includes assumptions about the periodicity of trigonometric functions and the conditions under which certain transformations are valid. Specific mathematical steps and definitions are not fully resolved.
Similar threads
- · Replies 3 ·
- · Replies 5 ·
Graduate
Green's function for Stokes equation
- · Replies 1 ·
- · Replies 3 ·
- · Replies 4 ·
- · Replies 9 ·
- · Replies 7 ·