Arctan of 2/5

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(2/5)?

Answer

arctan(2/5) ≈
21.8014° ≈ 0.3805 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.

2/5 = 0.4.

arctan(2/5) is the angle α in (−90°, 90°) with tan α = 2/5.

tan 21.8014° ≈ 0.4000

xyOP

α = arctan(2/5) ≈ 21.8014°

P ≈ (0.9285, 0.3714)

T(1, 2/5) is where line OP meets the line x = 1; highlighted: tan 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 arctan(2/5)?

arctan(2/5) ≈ 21.8014° ≈ 0.3805 rad

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

Multiply the angle in degrees by π/180: 21.8014° × π/180 ≈ 0.3805 rad.

Why does a calculator show 0.3805 for arctan(2/5)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(2/5) ≈ 0.3805 rad. In degrees (DEG) it is ≈ 21.8014°.