Arctan of 5/6

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(5/6)?

Answer

arctan(5/6) ≈
39.8056° ≈ 0.6947 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(5/6) is the angle α in (−90°, 90°) with tan α = 5/6.

tan 39.8056° ≈ 0.8333

xyOPT

α = arctan(5/6) ≈ 39.8056°

P ≈ (0.7682, 0.6402)

T(1, 5/6) is where line OP meets the line x = 1; highlighted: tan α = 5/6.

All four inverse functions of 5/6
FunctionDegreesRadians
arcsin(5/6)≈ 56.4427°≈ 0.9851
arccos(5/6)≈ 33.5573°≈ 0.5857
arctan(5/6)≈ 39.8056°≈ 0.6947
arccot(5/6)≈ 50.1944°≈ 0.8761

See Also

FAQ

What is arctan(5/6)?

arctan(5/6) ≈ 39.8056° ≈ 0.6947 rad

How to convert arctan(5/6) to radians?

Multiply the angle in degrees by π/180: 39.8056° × π/180 ≈ 0.6947 rad.

Why does a calculator show 0.6947 for arctan(5/6)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(5/6) ≈ 0.6947 rad. In degrees (DEG) it is ≈ 39.8056°.