Function Repository Resource:

SupplementaryAngle

Compute the geometric supplement to a given angle

Contributed by: Paco Jain (Wolfram Research)

ResourceFunction["SupplementaryAngle"][θ]

gives the supplement to the angle of θ.

Details and Options

ResourceFunction["SupplementaryAngle"] takes all angles to be measured in radians.

The supplement of an angle θ is defined to be the angle that sums with θ to form a straight angle. In other words, π-θ.

Compute the supplement of an angle:

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SupplementaryAngle works directly on Quantity expressions with units of "Radians":

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SupplementaryAngle will remain unevaluated for non-numeric input:

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SupplementaryAngle will return a negative result if the input angle is greater than π:

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For negative input, SupplementaryAngle returns a result greater than π:

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For numeric input, SupplementaryAngle is its own inverse:

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