Inverse Trigonometric Functions
Calculate inverse trig functions: arcsin, arccos, arctan, and more.
Result
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Enter value and calculate
Degrees
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Radians
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Domain
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Range
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Inverse Trigonometric Functions
Inverse trigonometric functions find the angle whose sine, cosine, or tangent equals a given value.
Definitions
- arcsin(x): Angle θ such that sin(θ) = x
- arccos(x): Angle θ such that cos(θ) = x
- arctan(x): Angle θ such that tan(θ) = x
Domain and Range
| Function | Domain | Range |
|---|---|---|
| arcsin(x) | [-1, 1] | [-π/2, π/2] |
| arccos(x) | [-1, 1] | [0, π] |
| arctan(x) | All real | (-π/2, π/2) |
| arcsec(x) | |x| ≥ 1 | [0, π], y ≠ π/2 |
| arccsc(x) | |x| ≥ 1 | [-π/2, π/2], y ≠ 0 |
| arccot(x) | All real | (0, π) |
Key Values
| x | arcsin(x) | arccos(x) | arctan(x) |
|---|---|---|---|
| -1 | -90° | 180° | -45° |
| 0 | 0° | 90° | 0° |
| 1 | 90° | 0° | 45° |
| √3 | — | — | 60° |
| 1/√3 | — | — | 30° |