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Tiven white
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1. Homework Statement [/
In 3-D coordinate space, any two of the coordinate angles must …
Select one:
a. sum to less than 1
b. be greater than 90° but less than 180°
c. each be greater than 45°
d. sum to greater than 90° (if they are both less than 90°).
e. have cosines less than (√2/2).
(cosα(α))^2 + (cos(β))^2 + (cos(γ))^2 = 1
3. The Attempt at a Solution .
since the sum of the squared cosine of alpha beta and gamma = 1 the answer to me is e reason being if the value of the cosine of the angle is (√2/2) then the square = 0.5 and the sum of two of these angles = 1 therefore the cosine has to be less than (√2/2). c could also be an option since all angles with (√2/2) is greater than 45°. but when i tried with example 150° for both angles the cosine is > than (√2/2) but negative. but when squared it is positive which implies the sum of the two would be greater than 1 and denounces 'c' is 'e' then the required solution.
In 3-D coordinate space, any two of the coordinate angles must …
Select one:
a. sum to less than 1
b. be greater than 90° but less than 180°
c. each be greater than 45°
d. sum to greater than 90° (if they are both less than 90°).
e. have cosines less than (√2/2).
Homework Equations
(cosα(α))^2 + (cos(β))^2 + (cos(γ))^2 = 1
3. The Attempt at a Solution .
since the sum of the squared cosine of alpha beta and gamma = 1 the answer to me is e reason being if the value of the cosine of the angle is (√2/2) then the square = 0.5 and the sum of two of these angles = 1 therefore the cosine has to be less than (√2/2). c could also be an option since all angles with (√2/2) is greater than 45°. but when i tried with example 150° for both angles the cosine is > than (√2/2) but negative. but when squared it is positive which implies the sum of the two would be greater than 1 and denounces 'c' is 'e' then the required solution.
