Arctan of 6
Arcsin, Arccos, Arctan, Arccot
What is arctan(6)?
Answer
arctan(6) ≈
80.5377° ≈ 1.4056 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(6) is the angle α in (−90°, 90°) with tan α = 6.
tan 80.5377° ≈ 6.0000
α = arctan(6) ≈ 80.5377°
P ≈ (0.1644, 0.9864)
T(1, 6) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 6.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(6) | does not exist | — |
| arccos(6) | does not exist | — |
| arctan(6) | ≈ 80.5377° | ≈ 1.4056 |
| arccot(6) | ≈ 9.4623° | ≈ 0.1651 |
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 |
|---|---|
| 3 | ≈ 71.5651° |
| 4 | ≈ 75.9638° |
| 5 | ≈ 78.6901° |
| 6 | ≈ 80.5377° |
| 7 | ≈ 81.8699° |
| 10 | ≈ 84.2894° |
| 20 | ≈ 87.1376° |
FAQ
What is arctan(6)?
arctan(6) ≈ 80.5377° ≈ 1.4056 rad
How to convert arctan(6) to radians?
Multiply the angle in degrees by π/180: 80.5377° × π/180 ≈ 1.4056 rad.
Why does a calculator show 1.4056 for arctan(6)?
The calculator is in radian mode (RAD) and gives the angle in radians: arctan(6) ≈ 1.4056 rad. In degrees (DEG) it is ≈ 80.5377°.
See Also
- 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 5/6 (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 6 (arctg 6) в градусах и радианах
- Arcotangente de 6 (arctan 6) en grados y radianes
- Arco tangente de 6 (arctg 6) em graus e radianos