Arctan of 3/4

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(3/4)?

Answer

arctan(3/4) ≈
36.8699° ≈ 0.6435 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.

3/4 = 0.75.

arctan(3/4) is the angle α in (−90°, 90°) with tan α = 3/4.

tan 36.8699° ≈ 0.7500

xyOPT

α = arctan(3/4) ≈ 36.8699°

P = (0.8, 0.6)

T(1, 3/4) is where line OP meets the line x = 1; highlighted: tan α = 3/4.

All four inverse functions of 3/4
FunctionDegreesRadians
arcsin(3/4)≈ 48.5904°≈ 0.8481
arccos(3/4)≈ 41.4096°≈ 0.7227
arctan(3/4)≈ 36.8699°≈ 0.6435
arccot(3/4)≈ 53.1301°≈ 0.9273

See Also

FAQ

What is arctan(3/4)?

arctan(3/4) ≈ 36.8699° ≈ 0.6435 rad

How to convert arctan(3/4) to radians?

Multiply the angle in degrees by π/180: 36.8699° × π/180 ≈ 0.6435 rad.

Why does a calculator show 0.6435 for arctan(3/4)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(3/4) ≈ 0.6435 rad. In degrees (DEG) it is ≈ 36.8699°.