Arctan of 2/3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(2/3)?

Answer

arctan(2/3) ≈
33.6901° ≈ 0.5880 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(2/3) is the angle α in (−90°, 90°) with tan α = 2/3.

tan 33.6901° ≈ 0.6667

xyOP

α = arctan(2/3) ≈ 33.6901°

P ≈ (0.8321, 0.5547)

T(1, 2/3) is where line OP meets the line x = 1; highlighted: tan α = 2/3.

All four inverse functions of 2/3
FunctionDegreesRadians
arcsin(2/3)≈ 41.8103°≈ 0.7297
arccos(2/3)≈ 48.1897°≈ 0.8411
arctan(2/3)≈ 33.6901°≈ 0.5880
arccot(2/3)≈ 56.3099°≈ 0.9828

See Also

FAQ

What is arctan(2/3)?

arctan(2/3) ≈ 33.6901° ≈ 0.5880 rad

How to convert arctan(2/3) to radians?

Multiply the angle in degrees by π/180: 33.6901° × π/180 ≈ 0.5880 rad.

Why does a calculator show 0.5880 for arctan(2/3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(2/3) ≈ 0.5880 rad. In degrees (DEG) it is ≈ 33.6901°.