Arccos of 2/3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccos(2/3)?

Answer

arccos(2/3) ≈
48.1897° ≈ 0.8411 rad

Range: arccos x is an angle from 0° to 180°, so the answer is unique.

≈ — the value is not a table one; rounded to 4 decimal places.

arccos(2/3) is the angle α in [0°, 180°] with cos α = 2/3.

cos 48.1897° ≈ 0.6667

xyOP

α = arccos(2/3) ≈ 48.1897°

P ≈ (0.6667, 0.7454)

P lies on the line x = 2/3 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 2/3.

All four inverse functions of 2/3
FunctionDegreesRadians
arcsin(2/3)≈ 41.8103°≈ 0.7297
arccos(2/3)≈ 48.1897°≈ 0.8411
arctan(2/3)≈ 33.6901°≈ 0.5880
arccot(2/3)≈ 56.3099°≈ 0.9828

See Also

FAQ

What is arccos(2/3)?

arccos(2/3) ≈ 48.1897° ≈ 0.8411 rad

How to convert arccos(2/3) to radians?

Multiply the angle in degrees by π/180: 48.1897° × π/180 ≈ 0.8411 rad.

Why does a calculator show 0.8411 for arccos(2/3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccos(2/3) ≈ 0.8411 rad. In degrees (DEG) it is ≈ 48.1897°.