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Coterminal Angle Calculator — result sheet
Calculate a normalized angle and a selected coterminal angle after an integer number of full turns.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Normalized angle=((angle mod 360)+360) mod 360; selected coterminal=angle+360×turns.
The principal nonnegative representative and the requested coterminal angle remain distinct outputs.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Starting angle — minimum -1000000000; maximum 1000000000
- Additional full turns — minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Starting angle | 450 |
| Additional full turns | -1 |
Normalized angle =90°; selected coterminal =90°.
Assumptions and limits
- Angles use degrees and the number of turns is a whole number.
- The normalized representative is in the half-open interval [0,360).
- Quadrant diagrams, radians, orientation conventions, and physical rotation are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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