Discussion Overview
The discussion revolves around the graphing of the function y=cos^2(x) as part of a trigonometry test. Participants explore the correct approach to graphing this function, including transformations and potential mistakes made during the process.
Discussion Character
- Homework-related
- Conceptual clarification
- Debate/contested
Main Points Raised
- One participant graphed y=cos^2(x) by squaring each cosine value and received feedback that their graph was only half correct.
- Another participant questions whether the initial interpretation of the function was accurate, suggesting clarity on whether it was intended as [cos(x)]*[cos(x)].
- There is a discussion about the nature of the graph, noting that cos^2(x) is always positive and has an amplitude of 1.
- A participant reflects on their graphing mistake, acknowledging that they incorrectly graphed cos(0) as 0 instead of 1.
- One participant suggests that transforming the equation to y=(1+cos2x)/2 might have been a correct approach for graphing.
Areas of Agreement / Disagreement
Participants express varying levels of understanding regarding the graphing of y=cos^2(x). While some agree on the properties of the function, there is no consensus on the initial graphing approach or the implications of the feedback received from the teacher.
Contextual Notes
Participants acknowledge potential mistakes in their graphing process, including misinterpretations of values and the transformation of the function. However, these issues remain unresolved in terms of their impact on the final graph.
