Arctan of 3/2
Arcsin, Arccos, Arctan, Arccot
What is arctan(3/2)?
Answer
arctan(3/2) ≈
56.3099° ≈ 0.9828 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.
3/2 = 1.5.
arctan(3/2) is the angle α in (−90°, 90°) with tan α = 3/2.
tan 56.3099° ≈ 1.5000
α = arctan(3/2) ≈ 56.3099°
P ≈ (0.5547, 0.8321)
T(1, 3/2) is where line OP meets the line x = 1; highlighted: tan α = 3/2.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(3/2) | does not exist | — |
| arccos(3/2) | does not exist | — |
| arctan(3/2) | ≈ 56.3099° | ≈ 0.9828 |
| arccot(3/2) | ≈ 33.6901° | ≈ 0.5880 |
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 |
|---|---|
| 5/6 | ≈ 39.8056° |
| 0.9 | ≈ 41.9872° |
| 1 | 45° = π/4 |
| 3/2 | ≈ 56.3099° |
| 5/3 | ≈ 59.0362° |
| √3 | 60° = π/3 |
| 2 | ≈ 63.4349° |
FAQ
What is arctan(3/2)?
arctan(3/2) ≈ 56.3099° ≈ 0.9828 rad
How to convert arctan(3/2) to radians?
Multiply the angle in degrees by π/180: 56.3099° × π/180 ≈ 0.9828 rad.
Why does a calculator show 0.9828 for arctan(3/2)?
The calculator is in radian mode (RAD) and gives the angle in radians: arctan(3/2) ≈ 0.9828 rad. In degrees (DEG) it is ≈ 56.3099°.
See Also
- 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 (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
- Arctan of 7 (Inverse Tangent) in Degrees and Radians
- Арктангенс 3/2 (arctg 3/2) в градусах и радианах
- Arcotangente de 3/2 (arctan 3/2) en grados y radianes
- Arco tangente de 3/2 (arctg 3/2) em graus e radianos