Arcsin (or inverse sine) is the inverse function of sine. It returns the angle whose sine is x. The domain of arcsin(x) is [-1, 1], and the range is [-π/2, π/2] (or -90° to 90°).
💡
Pro Tips
The input value must be between -1 and 1.
Arcsin returns negative values for negative inputs.
Arcsin(1) = 90 degrees, Arcsin(0) = 0 degrees.
!
Fun Facts
"In physics, Snell's Law uses arcsin to find the angle of refraction when light passes between materials."
"Arcsin is sometimes written as sin⁻¹(x), but this doesn't mean 1/sin(x)!"
"The slopes of hills are often measured in percentages, but civil engineers use inverse trig functions to find the actual angle."