Arctan of 5/6
Arcsin, Arccos, Arctan, Arccot
What is arctan(5/6)?
Answer
arctan(5/6) ≈
39.8056° ≈ 0.6947 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(5/6) is the angle α in (−90°, 90°) with tan α = 5/6.
tan 39.8056° ≈ 0.8333
α = arctan(5/6) ≈ 39.8056°
P ≈ (0.7682, 0.6402)
T(1, 5/6) is where line OP meets the line x = 1; highlighted: tan α = 5/6.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(5/6) | ≈ 56.4427° | ≈ 0.9851 |
| arccos(5/6) | ≈ 33.5573° | ≈ 0.5857 |
| arctan(5/6) | ≈ 39.8056° | ≈ 0.6947 |
| arccot(5/6) | ≈ 50.1944° | ≈ 0.8761 |
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 |
|---|---|
| 0.7 | ≈ 34.9920° |
| 3/4 | ≈ 36.8699° |
| 4/5 | ≈ 38.6598° |
| 5/6 | ≈ 39.8056° |
| 0.9 | ≈ 41.9872° |
| 1 | 45° = π/4 |
| 3/2 | ≈ 56.3099° |
FAQ
What is arctan(5/6)?
arctan(5/6) ≈ 39.8056° ≈ 0.6947 rad
How to convert arctan(5/6) to radians?
Multiply the angle in degrees by π/180: 39.8056° × π/180 ≈ 0.6947 rad.
Why does a calculator show 0.6947 for arctan(5/6)?
The calculator is in radian mode (RAD) and gives the angle in radians: arctan(5/6) ≈ 0.6947 rad. In degrees (DEG) it is ≈ 39.8056°.
See Also
- 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
- 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 6 (Inverse Tangent) in Degrees and Radians
- Arctan of 7 (Inverse Tangent) in Degrees and Radians
- Arctan of 10 (Inverse Tangent) in Degrees and Radians
- Arctan of 20 (Inverse Tangent) in Degrees and Radians
- Arctan of 30 (Inverse Tangent) in Degrees and Radians
- Arctan of 60 (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
- Арктангенс 5/6 (arctg 5/6) в градусах и радианах
- Arcotangente de 5/6 (arctan 5/6) en grados y radianes
- Arco tangente de 5/6 (arctg 5/6) em graus e radianos