Arctan of 5/2

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(5/2)?

Answer

arctan(5/2) ≈
68.1986° ≈ 1.1903 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.

5/2 = 2.5.

arctan(5/2) is the angle α in (−90°, 90°) with tan α = 5/2.

tan 68.1986° ≈ 2.5000

xyOP

α = arctan(5/2) ≈ 68.1986°

P ≈ (0.3714, 0.9285)

T(1, 5/2) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 5/2.

All four inverse functions of 5/2
FunctionDegreesRadians
arcsin(5/2)does not exist—
arccos(5/2)does not exist—
arctan(5/2)≈ 68.1986°≈ 1.1903
arccot(5/2)≈ 21.8014°≈ 0.3805

See Also

FAQ

What is arctan(5/2)?

arctan(5/2) ≈ 68.1986° ≈ 1.1903 rad

How to convert arctan(5/2) to radians?

Multiply the angle in degrees by π/180: 68.1986° × π/180 ≈ 1.1903 rad.

Why does a calculator show 1.1903 for arctan(5/2)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(5/2) ≈ 1.1903 rad. In degrees (DEG) it is ≈ 68.1986°.