Arctan of 1/2
Arcsin, Arccos, Arctan, Arccot
What is arctan(1/2)?
Answer
arctan(1/2) ≈
26.5651° ≈ 0.4636 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.
1/2 = 0.5.
arctan(1/2) is the angle α in (−90°, 90°) with tan α = 1/2.
tan 26.5651° ≈ 0.5000
α = arctan(1/2) ≈ 26.5651°
P ≈ (0.8944, 0.4472)
T(1, 1/2) is where line OP meets the line x = 1; highlighted: tan α = 1/2.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/2) | 30° | π/6 |
| arccos(1/2) | 60° | π/3 |
| arctan(1/2) | ≈ 26.5651° | ≈ 0.4636 |
| arccot(1/2) | ≈ 63.4349° | ≈ 1.1071 |
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 |
|---|---|
| 0.3 | ≈ 16.6992° |
| 1/3 | ≈ 18.4349° |
| 2/5 | ≈ 21.8014° |
| 1/2 | ≈ 26.5651° |
| √3/3 | 30° = π/6 |
| 3/5 | ≈ 30.9638° |
| 2/3 | ≈ 33.6901° |
FAQ
What is arctan(1/2)?
arctan(1/2) ≈ 26.5651° ≈ 0.4636 rad
How to convert arctan(1/2) to radians?
Multiply the angle in degrees by π/180: 26.5651° × π/180 ≈ 0.4636 rad.
Why does a calculator show 0.4636 for arctan(1/2)?
The calculator is in radian mode (RAD) and gives the angle in radians: arctan(1/2) ≈ 0.4636 rad. In degrees (DEG) it is ≈ 26.5651°.
See Also
- Arctan of −4/3 (Inverse Tangent) in Degrees and Radians
- 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 1/3 (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 (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
- Арктангенс 1/2 (arctg 1/2) в градусах и радианах
- Arcotangente de 1/2 (arctan 1/2) en grados y radianes
- Arco tangente de 1/2 (arctg 1/2) em graus e radianos