Arctan of 0

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(0)?

Answer

arctan(0) =
0° = 0

Range: arctan x is an angle strictly between −90° and 90°, so the answer is unique.

arctan(0) is the angle α in (−90°, 90°) with tan α = 0.

tan 0° = 0 ✓

xyOP

α = arctan(0) = 0°

P(cos 0°, sin 0°) = (1, 0)

T(1, 0) is where line OP meets the line x = 1; highlighted: tan α = 0.

All four inverse functions of 0
FunctionDegreesRadians
arcsin(0)0°0
arccos(0)90°π/2
arctan(0)0°0
arccot(0)90°π/2

See Also

Recalculate with different values ↑

Arctangent of nearby values

xarctan x
−4/5≈ −38.6598°
−√3/3−30° = −π/6
−0.3≈ −16.6992°
00° = 0
0.1≈ 5.7106°
1/5≈ 11.3099°
1/4≈ 14.0362°

FAQ

What is arctan(0)?

arctan(0) = 0° = 0

How to find arctan(0) from a table of tangents?

Look in the table for the angle α in (−90°, 90°) with tan α = 0: it is 0°, or 0 in radians.

What is the difference between arctan, tan⁻¹ and 1/tan?

tan⁻¹ x is another way to write arctan x (that is how the calculator key is labelled), not 1/tan x: 1/tan x is the cotangent. arctan x is the angle whose tangent is x; it exists for any x. Here: arctan(0) = 0° = 0.

See Also