Trigonometric functions are periodic and not one-to-one. Inverse functions restrict domain to specific intervals. Inverse sine (-1,1) and cosine (-1,1) are defined for [-pi/2,pi/2]. Inverse tangent (-∞) and cotangent (-∞) are defined for [-pi/2]. Inverse cosecant (-|x|, |x|≥1) and secant (-|x|, |x|≥1) are defined for |x|≥1
Sin^-1x is the inverse sine function, also known as arc sin(x). Domain is [-1,1], range is [-pi/2,pi/2]. Maximum and minimum values are π/2 and -π/2
Arcsin is the inverse of sine function. Returns angle whose sine is given number. Inverse functions have same name with 'arc' prefix. Example: arcsin 0.5 = 30°
Arcsin(x) is the inverse of sin(x) in [-pi/2, pi/2]. Domain is [-1, +1], range is [-pi/2, pi/2]. Arcsin(-x) = -arcsin(x), making it an odd function. Arcsin(x) is a one-to-one function
Arctan is the inverse tangent function, denoted as arctan(x) or tan⁻¹(x). Function returns angle where tangent equals input value. Domain is (-∞, +∞), range is (-∞, ∞) or (-90°, 90°)
Arcsin is the inverse sine function for -1 ≤ x ≤ 1. The derivative of arcsin x is 1/√1-x². When sin y = x, arcsin x = sin⁻¹x = y