Inverse Cosine (Arccos) Calculator
Calculate the inverse cosine (arccos) of a value. Returns the angle whose cosine equals the input.
Angle Rad
1.04719755
Fórmula
## Inverse Cosine (Arccos) ### Definition **arccos(x) = the angle whose cosine is x** ### Domain and Range - **Domain**: -1 ≤ x ≤ 1 - **Range**: 0° to 180° (0 to pi radians) ### Common Values - arccos(1) = 0° - arccos(0.5) = 60° - arccos(0) = 90° - arccos(-1) = 180°
Ejemplo Resuelto
Find arccos(0.5).
- 01arccos(0.5) = pi/3 radians
- 02= 60 degrees
- 03Verification: cos(60°) = 0.5
Preguntas Frecuentes
What is arccos?
Arccos (inverse cosine) returns the angle whose cosine equals the given value. It is the inverse function of cosine.
Why does arccos range from 0° to 180°?
This range ensures arccos is a proper function (one output per input). Cosine takes each value in [-1,1] exactly once in the interval [0°, 180°].
How are arcsin and arccos related?
arcsin(x) + arccos(x) = 90° for any x in [-1, 1]. They are complementary angles.
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