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ASIN()

Overview

ASIN() returns the arc sine (inverse sine) of a number in radians. The arc sine is the angle whose sine is the specified number. The input value must be between -1 and 1, inclusive. If the input is invalid (outside this range), the function returns zero.

Function Format 

ASIN(number)

Return Value 

ASIN() returns a numeric value in radians between -π/2 and π/2 (approximately -1.5708 to 1.5708)

Examples 


ASIN(0)           = 0
ASIN(SIN(1))      = 1
ASIN(SIN(PI()))   = 0
ASIN(SIN(PI()/2)) = 1.5708  (π/2 radians)
ASIN(1)           = 1.5708  (π/2 radians)
ASIN(-1)          = -1.5708 (-π/2 radians)

Notes

  • The input value must be between -1 and 1, inclusive.
  • If the input is outside this range, the function returns 0.
  • The result is always in radians, not degrees.
  • To convert the result to degrees, multiply by (180/π).
  • This function is commonly used in trigonometric calculations and geometry.
  • The range of the result is limited to -π/2 to π/2 radians (-90° to 90°).

See Also