Arccos of 0.1

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccos(0.1)?

Answer

arccos(0.1) ≈
84.2608° ≈ 1.4706 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(0.1) is the angle α in [0°, 180°] with cos α = 0.1.

cos 84.2608° ≈ 0.1000

xyOP

α = arccos(0.1) ≈ 84.2608°

P ≈ (0.1, 0.9950)

P lies on the line x = 0.1 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 0.1.

All four inverse functions of 0.1
FunctionDegreesRadians
arcsin(0.1)≈ 5.7392°≈ 0.1002
arccos(0.1)≈ 84.2608°≈ 1.4706
arctan(0.1)≈ 5.7106°≈ 0.0997
arccot(0.1)≈ 84.2894°≈ 1.4711

See Also

FAQ

What is arccos(0.1)?

arccos(0.1) ≈ 84.2608° ≈ 1.4706 rad

How to convert arccos(0.1) to radians?

Multiply the angle in degrees by π/180: 84.2608° × π/180 ≈ 1.4706 rad.

Why does a calculator show 1.4706 for arccos(0.1)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccos(0.1) ≈ 1.4706 rad. In degrees (DEG) it is ≈ 84.2608°.