Arctan of 1/3
Arcsin, Arccos, Arctan, Arccot
What is arctan(1/3)?
Answer
arctan(1/3) ≈
18.4349° ≈ 0.3218 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(1/3) is the angle α in (−90°, 90°) with tan α = 1/3.
tan 18.4349° ≈ 0.3333
α = arctan(1/3) ≈ 18.4349°
P ≈ (0.9487, 0.3162)
T(1, 1/3) is where line OP meets the line x = 1; highlighted: tan α = 1/3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/3) | ≈ 19.4712° | ≈ 0.3398 |
| arccos(1/3) | ≈ 70.5288° | ≈ 1.2310 |
| arctan(1/3) | ≈ 18.4349° | ≈ 0.3218 |
| arccot(1/3) | ≈ 71.5651° | ≈ 1.2490 |
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 |
|---|---|
| 1/5 | ≈ 11.3099° |
| 1/4 | ≈ 14.0362° |
| 0.3 | ≈ 16.6992° |
| 1/3 | ≈ 18.4349° |
| 2/5 | ≈ 21.8014° |
| 1/2 | ≈ 26.5651° |
| √3/3 | 30° = π/6 |
FAQ
What is arctan(1/3)?
arctan(1/3) ≈ 18.4349° ≈ 0.3218 rad
How to convert arctan(1/3) to radians?
Multiply the angle in degrees by π/180: 18.4349° × π/180 ≈ 0.3217 rad.
Why does a calculator show 0.3218 for arctan(1/3)?
The calculator is in radian mode (RAD) and gives the angle in radians: arctan(1/3) ≈ 0.3218 rad. In degrees (DEG) it is ≈ 18.4349°.
See Also
- Arctan of −4/5 (Inverse Tangent) in Degrees and Radians
- Arctan of −√3 (Inverse Tangent) in Degrees and Radians
- Arctan of −√3/3 (Inverse Tangent) in Degrees and Radians
- Arctan of 0 (Inverse Tangent) in Degrees and Radians
- Arctan of 0.1 (Inverse Tangent) in Degrees and Radians
- Arctan of 0.3 (Inverse Tangent) in Degrees and Radians
- 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 1/4 (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 (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
- Арктангенс 1/3 (arctg 1/3) в градусах и радианах
- Arcotangente de 1/3 (arctan 1/3) en grados y radianes
- Arco tangente de 1/3 (arctg 1/3) em graus e radianos