Arccos of 2/5

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccos(2/5)?

Answer

arccos(2/5) ≈
66.4218° ≈ 1.1593 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.

2/5 = 0.4.

arccos(2/5) is the angle α in [0°, 180°] with cos α = 2/5.

cos 66.4218° ≈ 0.4000

xyOP

α = arccos(2/5) ≈ 66.4218°

P ≈ (0.4, 0.9165)

P lies on the line x = 2/5 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 2/5.

All four inverse functions of 2/5
FunctionDegreesRadians
arcsin(2/5)≈ 23.5782°≈ 0.4115
arccos(2/5)≈ 66.4218°≈ 1.1593
arctan(2/5)≈ 21.8014°≈ 0.3805
arccot(2/5)≈ 68.1986°≈ 1.1903

See Also

FAQ

What is arccos(2/5)?

arccos(2/5) ≈ 66.4218° ≈ 1.1593 rad

How to convert arccos(2/5) to radians?

Multiply the angle in degrees by π/180: 66.4218° × π/180 ≈ 1.1593 rad.

Why does a calculator show 1.1593 for arccos(2/5)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccos(2/5) ≈ 1.1593 rad. In degrees (DEG) it is ≈ 66.4218°.