Arctan of 0.1

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(0.1)?

Answer

arctan(0.1) ≈
5.7106° ≈ 0.0997 rad

Range: arctan x is an angle strictly between −90° and 90°, so the answer is unique.

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

arctan(0.1) is the angle α in (−90°, 90°) with tan α = 0.1.

tan 5.7106° ≈ 0.1000

xyOP

α = arctan(0.1) ≈ 5.7106°

P ≈ (0.9950, 0.0995)

T(1, 0.1) is where line OP meets the line x = 1; highlighted: tan 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 arctan(0.1)?

arctan(0.1) ≈ 5.7106° ≈ 0.0997 rad

How to convert arctan(0.1) to radians?

Multiply the angle in degrees by π/180: 5.7106° × π/180 ≈ 0.0997 rad.

Why does a calculator show 0.0997 for arctan(0.1)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(0.1) ≈ 0.0997 rad. In degrees (DEG) it is ≈ 5.7106°.