Arctan of 4

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(4)?

Answer

arctan(4) ≈
75.9638° ≈ 1.3258 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(4) is the angle α in (−90°, 90°) with tan α = 4.

tan 75.9638° ≈ 4.0000

xyOP

α = arctan(4) ≈ 75.9638°

P ≈ (0.2425, 0.9701)

T(1, 4) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 4.

All four inverse functions of 4
FunctionDegreesRadians
arcsin(4)does not exist—
arccos(4)does not exist—
arctan(4)≈ 75.9638°≈ 1.3258
arccot(4)≈ 14.0362°≈ 0.2450

See Also

FAQ

What is arctan(4)?

arctan(4) ≈ 75.9638° ≈ 1.3258 rad

How to convert arctan(4) to radians?

Multiply the angle in degrees by π/180: 75.9638° × π/180 ≈ 1.3258 rad.

Why does a calculator show 1.3258 for arctan(4)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(4) ≈ 1.3258 rad. In degrees (DEG) it is ≈ 75.9638°.