Arctan of 10

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(10)?

Answer

arctan(10) ≈
84.2894° ≈ 1.4711 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(10) is the angle α in (−90°, 90°) with tan α = 10.

tan 84.2894° ≈ 10.0000

xyOP

α = arctan(10) ≈ 84.2894°

P ≈ (0.0995, 0.9950)

T(1, 10) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 10.

All four inverse functions of 10
FunctionDegreesRadians
arcsin(10)does not exist—
arccos(10)does not exist—
arctan(10)≈ 84.2894°≈ 1.4711
arccot(10)≈ 5.7106°≈ 0.0997

See Also

Recalculate with different values ↑

Arctangent of nearby values

xarctan x
5≈ 78.6901°
6≈ 80.5377°
7≈ 81.8699°
10≈ 84.2894°
20≈ 87.1376°
30≈ 88.0908°
60≈ 89.0452°

FAQ

What is arctan(10)?

arctan(10) ≈ 84.2894° ≈ 1.4711 rad

How to convert arctan(10) to radians?

Multiply the angle in degrees by π/180: 84.2894° × π/180 ≈ 1.4711 rad.

Why does a calculator show 1.4711 for arctan(10)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(10) ≈ 1.4711 rad. In degrees (DEG) it is ≈ 84.2894°.

See Also