Arctan of 20

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(20)?

Answer

arctan(20) ≈
87.1376° ≈ 1.5208 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(20) is the angle α in (−90°, 90°) with tan α = 20.

tan 87.1376° ≈ 20.0000

xyOP

α = arctan(20) ≈ 87.1376°

P ≈ (0.0499, 0.9988)

T(1, 20) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 20.

All four inverse functions of 20
FunctionDegreesRadians
arcsin(20)does not exist—
arccos(20)does not exist—
arctan(20)≈ 87.1376°≈ 1.5208
arccot(20)≈ 2.8624°≈ 0.0500

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(20)?

arctan(20) ≈ 87.1376° ≈ 1.5208 rad

How to convert arctan(20) to radians?

Multiply the angle in degrees by π/180: 87.1376° × π/180 ≈ 1.5208 rad.

Why does a calculator show 1.5208 for arctan(20)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(20) ≈ 1.5208 rad. In degrees (DEG) it is ≈ 87.1376°.

See Also