Are 3D coordinate angles restricted to certain values?

AI Thread Summary
In 3D coordinate space, the discussion centers on the properties of coordinate angles, specifically their restrictions. The angles must adhere to certain conditions, such as their cosine values being less than √2/2 and their sums having specific relationships. There is confusion regarding the definitions of "coordinate angles" and whether they pertain to spherical coordinates. The squared cosines of the three angles equal one, which is a critical aspect of the problem. Clarification is needed on how these properties relate to the proposed conditions C and E.
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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