📊
Inverse Hyperbolic Functions
★★★★☆Undergraduate
📖Definition
Inverse functions of hyperbolic functions, expressible in terms of logarithms.
📐Formulas
arsinh x = ln(x + √x² + 1)
Inverse hyperbolic sine
arcosh x = ln(x + √x² - 1) (x ≥ 1)
Inverse hyperbolic cosine
artanh x = (1)/(2)ln(1+x)/(1-x) (|x| < 1)
Inverse hyperbolic tangent
✏️Examples
예제 1★★☆☆☆
Find arsinh(0).
예제 2★★☆☆☆
Find arcosh(1).
⚡Applications
Integration
Expressing certain integral results
Physics
Relativistic velocity addition
🔗Related Documents
→Prerequisites
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⚡Applications
#역쌍곡선함수#arsinh#arcosh#artanh#inverse hyperbolic