- #1
Miike012
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.....
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Came up with a second personalized proof (is it correct)
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Homework Help Overview
The discussion revolves around a proof related to trigonometric identities, specifically the relationship between sine and cosine functions. Participants are examining the correctness of a personalized proof involving angles and triangle properties.
Discussion Character
- Exploratory, Assumption checking, Problem interpretation
Approaches and Questions Raised
- Participants are discussing the construction of angles in a triangle and questioning the validity of certain angle relationships. There are attempts to clarify the properties of right triangles and isosceles triangles, as well as the implications of angle bisectors.
Discussion Status
The conversation is ongoing, with participants providing insights and corrections regarding the geometric setup. Some have offered alternative steps and interpretations, while others are seeking clarification on angle relationships and constructions.
Contextual Notes
There appears to be confusion regarding the perpendicularity of segments and the definitions of angles within the triangle. Participants are navigating through these assumptions to arrive at a clearer understanding of the proof.
- #2
- #3
HallsofIvy
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Well, I wouldn't say "by construction angle COD is also theta". Since OD is perpendicular to AE, the only thing that is true "by construction" is that angle ODE and ODA are right angles. Now, you can they show that COD is theta by using the fact that the two angles in a right triangle are complementary- but you should show that.
- #4
praharmitra
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Wait. Am I missing something here. Shouldn't COD be 45-(theta/2) ?
AOE is an isosceles triangle. The perpendicular is also the angle bisector, right? Or have I understoond something wrong here?
AOE is an isosceles triangle. The perpendicular is also the angle bisector, right? Or have I understoond something wrong here?
- #5
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