AdvancedProTrig Functions
Arcsin
f(x) = arcsin(x)
Overview
Arcsin is the inverse of sin, restricted to [-π/2, π/2]. It answers: "what angle has this sine?"
Domain
[-1, 1]
Range
[-π/2, π/2]
Symmetry
Odd
Key Properties
1
Domain: [-1, 1]
2
Range: [-π/2, π/2]
3
Odd function
4
d/dx[arcsin(x)] = 1/√(1-x²)
Key Insight
arcsin(sin(x)) = x only when x ∈ [-π/2, π/2]. Outside this range, you get a different angle.
Visualize Arcsin
Interact with the graph, adjust parameters, and see how the function behaves in real time.