Arctan of 5/3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(5/3)?

Answer

arctan(5/3) ≈
59.0362° ≈ 1.0304 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(5/3) is the angle α in (−90°, 90°) with tan α = 5/3.

tan 59.0362° ≈ 1.6667

xyOPT

α = arctan(5/3) ≈ 59.0362°

P ≈ (0.5145, 0.8575)

T(1, 5/3) is where line OP meets the line x = 1; highlighted: tan α = 5/3.

All four inverse functions of 5/3
FunctionDegreesRadians
arcsin(5/3)does not exist—
arccos(5/3)does not exist—
arctan(5/3)≈ 59.0362°≈ 1.0304
arccot(5/3)≈ 30.9638°≈ 0.5404

See Also

FAQ

What is arctan(5/3)?

arctan(5/3) ≈ 59.0362° ≈ 1.0304 rad

How to convert arctan(5/3) to radians?

Multiply the angle in degrees by π/180: 59.0362° × π/180 ≈ 1.0304 rad.

Why does a calculator show 1.0304 for arctan(5/3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(5/3) ≈ 1.0304 rad. In degrees (DEG) it is ≈ 59.0362°.