Arcsine

−π2negative the fraction with numerator pi and denominator 2 end-fraction

The function, denoted as , is the inverse of the sine function. While sine takes an angle and gives a ratio, arcsine takes a ratio and returns the original angle. 1. Define the Domain and Range arcsine

. It is an increasing function that passes through the origin 4. Apply Calculus Properties arcsine

, you are asking: "What arc length (angle) gives me this vertical height?" arcsine

π6the fraction with numerator pi and denominator 6 end-fraction

is a reflection of the restricted sine curve across the line

Explain the (often confused). Provide a table of common values for quick reference.