Arctan of 5

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(5)?

Answer

arctan(5) ≈
78.6901° ≈ 1.3734 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) is the angle α in (−90°, 90°) with tan α = 5.

tan 78.6901° ≈ 5.0000

xyOP

α = arctan(5) ≈ 78.6901°

P ≈ (0.1961, 0.9806)

T(1, 5) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 5.

All four inverse functions of 5
FunctionDegreesRadians
arcsin(5)does not exist—
arccos(5)does not exist—
arctan(5)≈ 78.6901°≈ 1.3734
arccot(5)≈ 11.3099°≈ 0.1974

See Also

Recalculate with different values ↑

Arctangent of nearby values

xarctan x
5/2≈ 68.1986°
3≈ 71.5651°
4≈ 75.9638°
5≈ 78.6901°
6≈ 80.5377°
7≈ 81.8699°
10≈ 84.2894°

FAQ

What is arctan(5)?

arctan(5) ≈ 78.6901° ≈ 1.3734 rad

How to convert arctan(5) to radians?

Multiply the angle in degrees by π/180: 78.6901° × π/180 ≈ 1.3734 rad.

Why does a calculator show 1.3734 for arctan(5)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(5) ≈ 1.3734 rad. In degrees (DEG) it is ≈ 78.6901°.

See Also