Are 3D coordinate angles restricted to certain values?

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Homework Help Overview

The discussion revolves around the properties of angles in 3D coordinate space, specifically focusing on the relationships and restrictions that may apply to these angles. The original poster presents several statements regarding the angles and seeks clarification on their validity.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to identify which of the provided statements about coordinate angles is correct, expressing uncertainty particularly between options C and E. Some participants question the reasoning behind these options, while others seek clarification on the term "coordinate angles."

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the question and the implications of the statements presented. There is a lack of consensus, as some participants express confusion about the terminology used and its relevance to the problem.

Contextual Notes

Participants note potential ambiguity in the term "coordinate angles," with references made to spherical coordinates and the definitions of angles in that context. There is also mention of the mathematical relationship involving the squared cosines of the angles, which may influence the discussion.

Tiven white
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Homework Statement


In 3d coordinate space any two of the coordinate angles must
A. Sum to less than one
B. Be greater than ninety but less than one eighty.
C. Each be greater than forty five degrees
D. Sum to greater than 90 ( if they are both less than 90)
E. Have cosines less than (√2/2).


Homework Equations





The Attempt at a Solution

I think the answer is e but there is s some conflict between c can anyone clear this up for me
 
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What is your reasoning for C and E?
 
The squared cosine of all the three angles = to 1
 
I must say, I don't even understand the question. What's meant by the "coordinate angles" here? If you refer to spherical coordinates in 3 dimensions, then the polar angle is between ]0,\pi[ and \pi and the azimuthal angle between [0,2 \pi. This is a chart for the entire Euclidean space except the polar axis.
 
Tiven white said:
The squared cosine of all the three angles = to 1

And how does that imply C or E?
 

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