Arctan of 1/5

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(1/5)?

Answer

arctan(1/5) ≈
11.3099° ≈ 0.1974 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.

1/5 = 0.2.

arctan(1/5) is the angle α in (−90°, 90°) with tan α = 1/5.

tan 11.3099° ≈ 0.2000

xyOP

α = arctan(1/5) ≈ 11.3099°

P ≈ (0.9806, 0.1961)

T(1, 1/5) is where line OP meets the line x = 1; highlighted: tan α = 1/5.

All four inverse functions of 1/5
FunctionDegreesRadians
arcsin(1/5)≈ 11.5370°≈ 0.2014
arccos(1/5)≈ 78.4630°≈ 1.3694
arctan(1/5)≈ 11.3099°≈ 0.1974
arccot(1/5)≈ 78.6901°≈ 1.3734

See Also

FAQ

What is arctan(1/5)?

arctan(1/5) ≈ 11.3099° ≈ 0.1974 rad

How to convert arctan(1/5) to radians?

Multiply the angle in degrees by π/180: 11.3099° × π/180 ≈ 0.1974 rad.

Why does a calculator show 0.1974 for arctan(1/5)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(1/5) ≈ 0.1974 rad. In degrees (DEG) it is ≈ 11.3099°.