📊
Inverse Trigonometric Functions
★★★☆☆High School
📖Definition
Inverse trigonometric functions are the inverse functions of trigonometric functions, finding angles from ratio values. They include arcsin, arccos, and arctan.
📐Formulas
y = arcsin x ⇔ sin y = x, -(π)/(2) ≤ y ≤ (π)/(2)
Definition of arcsine
y = arccos x ⇔ cos y = x, 0 ≤ y ≤ π
Definition of arccosine
y = arctan x ⇔ tan y = x, -(π)/(2) < y < (π)/(2)
Definition of arctangent
✏️Examples
예제 1
Find arcsin(1/2).
예제 2
Find arctan(1).
⚡Applications
Physics
Angle calculation, trajectory analysis
Engineering
Robot inverse kinematics, control systems
🔗Related Documents
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#역삼각함수#아크사인#inverse trig#arcsine