Function Repository Resource:

ComplementaryAngle

Compute the geometric complement to a given angle

Contributed by: Paco Jain (Wolfram Research)

ResourceFunction["ComplementaryAngle"][θ]

gives the complement to the angle of θ.

Details and Options

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

The complement of an angle θ is defined to be the angle which sums with θ to form a right angle. In other words,

Compute the complement of an angle:

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

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ComplementaryAngle will remain unevaluated for non-numeric input:

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

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For negative input, ComplementaryAngle returns a result greater than :

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For numeric input, ComplementaryAngle is its own inverse:

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