Discussion Overview
The discussion revolves around comparing the cosine values of two expressions involving angles B and θ, specifically cos(B - π/2) and cos(θ + π/2). Participants are examining the correctness of their calculations and the interpretation of the problem statement, which involves trigonometric identities and potential quadrant considerations.
Discussion Character
- Debate/contested
- Mathematical reasoning
Main Points Raised
- One participant calculates cos(B - π/2) to be approximately 0.557 and cos(θ + π/2) to be approximately 0.731, concluding that cos(θ + π/2) is greater.
- Another participant questions the interpretation of the values given for cos(B) and cos(θ), suggesting a possible misrepresentation in the problem statement.
- There is a repeated inquiry about the correctness of the textbook's answer, which states that cos(B - π/2) is greater than cos(θ + π/2).
- Participants express uncertainty about the quadrant in which angles B and θ terminate, which may affect the cosine values.
- Clarifications are sought regarding the notation used in the problem statement, particularly whether the expressions represent angle values or cosine values.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the correctness of the calculations or the textbook's answer. Multiple competing interpretations of the problem statement and the values involved remain unresolved.
Contextual Notes
There is ambiguity regarding the definitions of cos(B) and cos(θ) as well as the quadrant locations of the angles, which may influence the cosine values being compared.
