Arctan of 3
Arcsin, Arccos, Arctan, Arccot
What is arctan(3)?
Answer
arctan(3) ≈
71.5651° ≈ 1.2490 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(3) is the angle α in (−90°, 90°) with tan α = 3.
tan 71.5651° ≈ 3.0000
α = arctan(3) ≈ 71.5651°
P ≈ (0.3162, 0.9487)
T(1, 3) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(3) | does not exist | — |
| arccos(3) | does not exist | — |
| arctan(3) | ≈ 71.5651° | ≈ 1.2490 |
| arccot(3) | ≈ 18.4349° | ≈ 0.3218 |
See Also
- Sin, Cos, Tan, Cot of an Angle - Exact value in square roots and the decimal, with reduction to an acute angle on the unit circle
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
Arctangent of nearby values
| x | arctan x |
|---|---|
| √3 | 60° = π/3 |
| 2 | ≈ 63.4349° |
| 5/2 | ≈ 68.1986° |
| 3 | ≈ 71.5651° |
| 4 | ≈ 75.9638° |
| 5 | ≈ 78.6901° |
| 6 | ≈ 80.5377° |
FAQ
What is arctan(3)?
arctan(3) ≈ 71.5651° ≈ 1.2490 rad
How to convert arctan(3) to radians?
Multiply the angle in degrees by π/180: 71.5651° × π/180 ≈ 1.2490 rad.
Why does a calculator show 1.2490 for arctan(3)?
The calculator is in radian mode (RAD) and gives the angle in radians: arctan(3) ≈ 1.2490 rad. In degrees (DEG) it is ≈ 71.5651°.
See Also
- Arctan of 0.7 (Inverse Tangent) in Degrees and Radians
- Arctan of 0.9 (Inverse Tangent) in Degrees and Radians
- Arctan of 1 (Inverse Tangent) in Degrees and Radians
- Arctan of 1/2 (Inverse Tangent) in Degrees and Radians
- Arctan of 1/3 (Inverse Tangent) in Degrees and Radians
- Arctan of 1/4 (Inverse Tangent) in Degrees and Radians
- Arctan of 1/5 (Inverse Tangent) in Degrees and Radians
- Arctan of 2 (Inverse Tangent) in Degrees and Radians
- Arctan of 2/3 (Inverse Tangent) in Degrees and Radians
- Arctan of 2/5 (Inverse Tangent) in Degrees and Radians
- Arctan of 3/2 (Inverse Tangent) in Degrees and Radians
- Arctan of 3/4 (Inverse Tangent) in Degrees and Radians
- Arctan of 3/5 (Inverse Tangent) in Degrees and Radians
- Arctan of 4 (Inverse Tangent) in Degrees and Radians
- Arctan of 4/5 (Inverse Tangent) in Degrees and Radians
- Arctan of 5 (Inverse Tangent) in Degrees and Radians
- Arctan of 5/2 (Inverse Tangent) in Degrees and Radians
- Arctan of 5/3 (Inverse Tangent) in Degrees and Radians
- Arctan of 5/6 (Inverse Tangent) in Degrees and Radians
- Arctan of 6 (Inverse Tangent) in Degrees and Radians
- Арктангенс 3 (arctg 3) в градусах и радианах
- Arcotangente de 3 (arctan 3) en grados y radianes
- Arco tangente de 3 (arctg 3) em graus e radianos