What is an inverse trig function?

It returns an angle from a trigonometric ratio, such as arcsin(0.5) = 30°.

Why are arcsin and arccos limited to -1 through 1?

Sine and cosine values never go below -1 or above 1 for real angles.

Why does arctan accept any real number?

Tangent can take any real value, so arctan has no finite real-domain limit.

Are inverse trig answers unique?

The calculator returns the principal value. Other coterminal or triangle-specific angles may also satisfy a broader equation.

Inverse Trig Calculator

Calculate arcsin, arccos, and arctan values with principal-angle results in degrees and radians, plus domain checks for inverse sine and cosine.

Input x

arcsin/arccos accept values from -1 to 1; arctan and arccot use all real numbers; arcsec/arccsc require |x| >= 1.

Enter decimals, fractions, or simple radicals: 1/2, sqrt(2)/2, √3, -sqrt(3)/3.

Quick values

Calculate all 6 inverse functions at once: arcsin, arccos, arctan, arccot, arcsec, arccscarctan is also written as arctg, and arccot is also written as arcctg. The calculator shows principal values, not every solution of a trigonometric equation.arcsec and arccsc use the reciprocal input, so they require |x| >= 1.

Arcsin, arccos, and arctan

Inverse trig search intent is the reverse of a trig function: enter a ratio and get the principal angle. Results are usually needed in both degrees and radians.

y = arcsin (x), y = arccos (x), y = arctan (x)

y is the principal angle returned by the selected inverse trigonometric function.

Domains and principal ranges

Function	Input domain	Principal range
arcsin(x)	-1 to 1	-90° to 90°
arccos(x)	-1 to 1	0° to 180°
arctan(x)	all real numbers	-90° to 90°

Frequently Asked Questions

Sources and References

Calculations are based on the listed reference sources. Links open in a new tab.

Updated: June 2, 2026

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