What arctan returns
If , then .
The principal output stays between - rac{pi}{2} and rac{pi}{2}.
That makes arctan useful for slope angles, right-triangle recovery, and direction calculations.
Reading the result
- Radians are standard in calculus and many programming libraries.
- Degrees are easier for surveying, drafting, and classroom geometry.
- The same tangent value also acts like rise over run for slope percentage.
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