sinusinv

Sinusinv, also known as inverse sine or arcsine, is a mathematical function. It is the inverse of the sine function. For a given value between -1 and 1, the sinusinv function returns the angle in radians whose sine is that value. The principal value range of the sinusinv function is typically defined as [-pi/2, pi/2]. This means that for any input value between -1 and 1, the output will be an angle within this specific interval.

The notation for sinusinv is commonly arcsin(x) or sin⁻¹(x). It is a fundamental function in trigonometry and calculus, appearing in various mathematical formulas and applications. For example, it is used in solving trigonometric equations, calculating areas of sectors, and in many physics and engineering problems. The graph of the sinusinv function is an increasing curve that passes through the origin, with horizontal asymptotes at y = -pi/2 and y = pi/2. The domain of the function is restricted to the interval [-1, 1], as the sine function's output never exceeds these values.