How to find out various sine values from its graph.

Click For Summary

Discussion Overview

The discussion revolves around the interpretation of the sine function's behavior on its graph, specifically focusing on the values at critical points such as pi/2 and 3pi/2. Participants explore how to determine whether the sine values are increasing or decreasing at these points.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions the correctness of a previous answer regarding the behavior of sin(x) at pi/2 and 3pi/2, stating that the value neither increases nor decreases as x increases.
  • Another participant agrees with the previous point, emphasizing that the derivative at these points results in a horizontal line.
  • Multiple participants express similar concerns about the interpretation of the sine function's behavior at these critical points.

Areas of Agreement / Disagreement

Participants generally disagree on the interpretation of the sine function's behavior at pi/2 and 3pi/2, with multiple viewpoints presented regarding whether the function is increasing or decreasing at these points.

Contextual Notes

There is an emphasis on the derivative's behavior at critical points, but the discussion does not resolve the underlying assumptions about the definitions of increasing and decreasing in this context.

Phys12
Messages
351
Reaction score
42
Question (and Answer):

XtPLM.jpg

The answer is written in thin black, inc = increasing, dec = decreasing. Am I wrong anywhere?

Thanks!
 
Mathematics news on Phys.org
I would quibble over pi/2 and 3pi/2. In both of those cases the value of sin(x)neither increases nor decreases as x increases .
 
.Scott said:
I would quibble over pi/2 and 3pi/2. In both of those cases the value of sin(x)neither increases nor decreases as x increases .
Same here. Everything else is correct.
 
.Scott said:
I would quibble over pi/2 and 3pi/2. In both of those cases the value of sin(x)neither increases nor decreases as x increases .
Yeah, I also spent more time on those than others. I can see that the derivative there would be a horizontal straight line. Fine, thank you! :smile:
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K