Inverse Trigonometric Functions Calculator

Inverse Trigonometric Functions

find:

arcsin(x) arccos(x) arctan(x) arccot(x) arcsec(x) arccsc(x)

for x =

+/−

Answer:

For Ranges:
-1 ≤ x ≤ 1
-π/2 ≤ y ≤ π/2

arcsin () = degrees
arcsin () = radians
arcsin () = π

Large Arcsine Function Graph

All Inverse Trig Function Graphs

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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

Function
Abbreviations

Range of
Principal Values

Arcsine

Arcsin x or sin ^-1 x

-1 ≤ x ≤ 1
-π/2 ≤ y ≤ π/2

Arccosine

Arccos x or cos ^-1 x

-1 ≤ x ≤ 1
0 ≤ y ≤ π

Arctangent

Arctan x or tan ^-1 x

x, all real numbers
-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

Arcsecant

Arcsec x or sec ^-1 x

x ≤ -1 and x ≥ 1
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

x

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Last updated: August 1, 2025