Arctan of 1/4
Arcsin, Arccos, Arctan, Arccot
What is arctan(1/4)?
Answer
arctan(1/4) ≈
14.0362° ≈ 0.2450 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.
1/4 = 0.25.
arctan(1/4) is the angle α in (−90°, 90°) with tan α = 1/4.
tan 14.0362° ≈ 0.2500
α = arctan(1/4) ≈ 14.0362°
P ≈ (0.9701, 0.2425)
T(1, 1/4) is where line OP meets the line x = 1; highlighted: tan α = 1/4.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/4) | ≈ 14.4775° | ≈ 0.2527 |
| arccos(1/4) | ≈ 75.5225° | ≈ 1.3181 |
| arctan(1/4) | ≈ 14.0362° | ≈ 0.2450 |
| arccot(1/4) | ≈ 75.9638° | ≈ 1.3258 |
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 | 0° = 0 |
| 0.1 | ≈ 5.7106° |
| 1/5 | ≈ 11.3099° |
| 1/4 | ≈ 14.0362° |
| 0.3 | ≈ 16.6992° |
| 1/3 | ≈ 18.4349° |
| 2/5 | ≈ 21.8014° |
FAQ
What is arctan(1/4)?
arctan(1/4) ≈ 14.0362° ≈ 0.2450 rad
How to convert arctan(1/4) to radians?
Multiply the angle in degrees by π/180: 14.0362° × π/180 ≈ 0.2450 rad.
Why does a calculator show 0.2450 for arctan(1/4)?
The calculator is in radian mode (RAD) and gives the angle in radians: arctan(1/4) ≈ 0.2450 rad. In degrees (DEG) it is ≈ 14.0362°.
See Also
- 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 1/3 (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
- Arctan of 4/5 (Inverse Tangent) in Degrees and Radians
- Арктангенс 1/4 (arctg 1/4) в градусах и радианах
- Arcotangente de 1/4 (arctan 1/4) en grados y radianes
- Arco tangente de 1/4 (arctg 1/4) em graus e radianos