inverse sine
Opposite of sine
Inverse sine is the trigonometric function that returns the angle whose sine equals a given value.
If the sine of 30° is 0.5, then the inverse sine of 0.5 is 30°.
Written as sin⁻¹ or arcsin in mathematical notation: The inverse sine of 1 is 90 degrees.
The function is essential for finding angles from known ratios in geometry and physics.
Inverse of sine
- principal valueCanonical multivalued function output
- domainArea of control
- rangeExtent of variation
- angleGeometric measure of rotation
radians · degrees · unit circle · quadrant · trigonometric · tangent · identity · transformation
Three-sided, one perpendicular corner
- oppositeReverse or contrary thing
- hypotenuseLongest right-triangle side
- Pythagorean theoremRelates right triangle sides
- adjacentDirectly next to
acute angle · complementary angles · protractor · altitude · angle of elevation · surveying · navigation
Function's rate of change
- integralAntiderivative or crucial component
- antiderivativeReverse of differentiation
- chain ruleComposite function derivative method
- limitMaximum allowed extent
convergence · differentiation · integration · substitution · arc length
Repeated back-and-forth movement
- periodicOccurring at intervals
- amplitudeMaximum oscillation displacement
- phaseDistinct period in sequence
- frequencyRate of recurrence
harmonic · signal processing · phase shift · waveform · modulation · acoustics · electronics
arcsin
Inverse of sine
- principal valueCanonical multivalued function output
- domainArea of control
- rangeExtent of variation
angle · radians · degrees · unit circle · quadrant · trigonometric · tangent · identity · transformation · calculator
right triangle
Three-sided, one perpendicular corner
- oppositeReverse or contrary thing
- hypotenuseLongest right-triangle side
- Pythagorean theoremRelates right triangle sides
adjacent · acute angle · complementary angles · protractor · altitude · angle of elevation · surveying · navigation
derivative
Function's rate of change
- integralAntiderivative or crucial component
- antiderivativeReverse of differentiation
- chain ruleComposite function derivative method
limit · convergence · differentiation · integration · substitution · arc length
oscillation
Repeated back-and-forth movement
- periodicOccurring at intervals
- amplitudeMaximum oscillation displacement
- phaseDistinct period in sequence
frequency · harmonic · signal processing · phase shift · waveform · modulation · acoustics · electronics