Arctan of 60

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(60)?

Answer

arctan(60) ≈
89.0452° ≈ 1.5541 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.

If 60 is an angle in degrees, you need the direct function: tan 60° = √3.

arctan(60) is the angle α in (−90°, 90°) with tan α = 60.

tan 89.0452° ≈ 60.0026 — not exactly 60 because the angle is rounded to 4 decimal places.

xyOP

α = arctan(60) ≈ 89.0452°

P ≈ (0.0167, 0.9999)

T(1, 60) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 60.

All four inverse functions of 60
FunctionDegreesRadians
arcsin(60)does not exist—
arccos(60)does not exist—
arctan(60)≈ 89.0452°≈ 1.5541
arccot(60)≈ 0.9548°≈ 0.0167

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(60)?

arctan(60) ≈ 89.0452° ≈ 1.5541 rad

How to convert arctan(60) to radians?

Multiply the angle in degrees by π/180: 89.0452° × π/180 ≈ 1.5541 rad.

Why does a calculator show 1.5541 for arctan(60)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(60) ≈ 1.5541 rad. In degrees (DEG) it is ≈ 89.0452°.

See Also