arctangent
Angle-finding function
Arctangent is the inverse of the tangent function in trigonometry—given a ratio, it returns the angle that would produce that ratio.
If the tangent of 45 degrees is 1, then the arctangent of 1 is 45 degrees.
Written as arctan or tan⁻¹, it appears constantly in physics, engineering, and computing: The angle is the arctangent of the opposite side divided by the adjacent.
Function's rate of change
- integralAntiderivative or crucial component
- differentiationRecognizing meaningful differences
- antiderivativeReverse of differentiation
- limitMaximum allowed extent
function · slope · asymptote · convergence · approximation · continuous · substitution
Opposite over hypotenuse
- cosineRatio in triangle math
- arcsineAngle-recovering trig function
- arccosineInverse of cosine function
- radiansAngle measurement units
degrees · angle · hypotenuse · adjacent · opposite · quadrant · periodicity · argument
Determining position and course
- surveyingMeasuring and charting terrain
- roboticsAutomaton design field
- physicsScience of matter and energy
- engineeringDesigning functional systems scientifically
Location-specifying number pairs
- algorithmFinite problem-solving procedure
- implementationPutting plans into effect
derivative
Function's rate of change
- integralAntiderivative or crucial component
- differentiationRecognizing meaningful differences
- antiderivativeReverse of differentiation
limit · function · slope · asymptote · convergence · approximation · continuous · substitution
sine
Opposite over hypotenuse
- cosineRatio in triangle math
- arcsineAngle-recovering trig function
- arccosineInverse of cosine function
radians · degrees · angle · hypotenuse · adjacent · opposite · quadrant · periodicity · argument
navigation
Determining position and course
- surveyingMeasuring and charting terrain
- roboticsAutomaton design field
- physicsScience of matter and energy
engineering · trajectory · inclination · bearing · orientation
coordinates
Location-specifying number pairs
- algorithmFinite problem-solving procedure
- implementationPutting plans into effect
arctangentarcsine
Angle-recovering trig function
arccosine · arcsin · arccos · inverse sine