Find Direction Cosines Vector R3

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#vectors_3d #vectors_MCV4U #anilkumar #globalmathinstitute #octants #directioncosines
How to represent a point in space 1D, 2D, 3D?
Just as 4 Quadrants define the 2 Dimensional space,
8 Octants represent regions in the three dimensional space.
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I understand very much thank you!
But I believe. After taking the square root.
Cos (gamma) can be + or - 0.64... So, it could potentially be a 129.7° as well???
Please let me know if that's wrong!!
The identity seems to work out perfectly for a 130° as well.

GauthamPadmakumar