Arctan of 30

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(30)?

Answer

arctan(30) ≈
88.0908° ≈ 1.5375 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 30 is an angle in degrees, you need the direct function: tan 30° = √3/3.

arctan(30) is the angle α in (−90°, 90°) with tan α = 30.

tan 88.0908° ≈ 29.9993 — not exactly 30 because the angle is rounded to 4 decimal places.

xyOP

α = arctan(30) ≈ 88.0908°

P ≈ (0.0333, 0.9994)

T(1, 30) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 30.

All four inverse functions of 30
FunctionDegreesRadians
arcsin(30)does not exist—
arccos(30)does not exist—
arctan(30)≈ 88.0908°≈ 1.5375
arccot(30)≈ 1.9092°≈ 0.0333

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(30)?

arctan(30) ≈ 88.0908° ≈ 1.5375 rad

How to convert arctan(30) to radians?

Multiply the angle in degrees by π/180: 88.0908° × π/180 ≈ 1.5375 rad.

Why does a calculator show 1.5375 for arctan(30)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(30) ≈ 1.5375 rad. In degrees (DEG) it is ≈ 88.0908°.

See Also