Inverse Trigonometric Functions Calculator
Calculator Use
This calculator will find the inverse trigonometric values for principal values in the ranges listed in the table. You can view the ranges in the Inverse Trigonometric Function Graphs.
Inverse Trig Function Ranges
Function
Name
Name
Function
Abbreviations
Abbreviations
Range of
Principal Values
Principal Values
Arcsine
Arcsin x or sin -1 x
-1 ≤ x ≤ 1
-π/2 ≤ y ≤ π/2
-π/2 ≤ y ≤ π/2
Arccosine
Arccos x or cos -1 x
-1 ≤ x ≤ 1
0 ≤ y ≤ π
0 ≤ y ≤ π
Arctangent
Arctan x or tan -1 x
x, all real numbers
-π/2 < y < π/2
-π/2 < y < π/2
Arccotangent
Arccot x or cot -1 x
x, all real numbers
except 0 = π/2
-π/2 < y < π/2
except 0 = π/2
-π/2 < y < π/2
Arcsecant
Arcsec x or sec -1 x
x ≤ -1 and x ≥ 1
0 ≤ y < π/2 or π/2 < y ≤ π
0 ≤ y < π/2 or π/2 < y ≤ π
Arccosecant
Arccsc x or csc -1 x
x ≤ -1 and x ≥ 1
-π/2 ≤ y < 0 or 0 < y ≤ π/2
-π/2 ≤ y < 0 or 0 < y ≤ π/2