Arctan of 3/5
Arcsin, Arccos, Arctan, Arccot
What is arctan(3/5)?
Answer
arctan(3/5) ≈
30.9638° ≈ 0.5404 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.
3/5 = 0.6.
arctan(3/5) is the angle α in (−90°, 90°) with tan α = 3/5.
tan 30.9638° ≈ 0.6000
α = arctan(3/5) ≈ 30.9638°
P ≈ (0.8575, 0.5145)
T(1, 3/5) is where line OP meets the line x = 1; highlighted: tan α = 3/5.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(3/5) | ≈ 36.8699° | ≈ 0.6435 |
| arccos(3/5) | ≈ 53.1301° | ≈ 0.9273 |
| arctan(3/5) | ≈ 30.9638° | ≈ 0.5404 |
| arccot(3/5) | ≈ 59.0362° | ≈ 1.0304 |
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 |
|---|---|
| 2/5 | ≈ 21.8014° |
| 1/2 | ≈ 26.5651° |
| √3/3 | 30° = π/6 |
| 3/5 | ≈ 30.9638° |
| 2/3 | ≈ 33.6901° |
| 0.7 | ≈ 34.9920° |
| 3/4 | ≈ 36.8699° |
FAQ
What is arctan(3/5)?
arctan(3/5) ≈ 30.9638° ≈ 0.5404 rad
How to convert arctan(3/5) to radians?
Multiply the angle in degrees by π/180: 30.9638° × π/180 ≈ 0.5404 rad.
Why does a calculator show 0.5404 for arctan(3/5)?
The calculator is in radian mode (RAD) and gives the angle in radians: arctan(3/5) ≈ 0.5404 rad. In degrees (DEG) it is ≈ 30.9638°.
See Also
- 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 3/2 (Inverse Tangent) in Degrees and Radians
- Arctan of 3/4 (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
- Arctan of 10 (Inverse Tangent) in Degrees and Radians
- Arctan of 20 (Inverse Tangent) in Degrees and Radians
- Арктангенс 3/5 (arctg 3/5) в градусах и радианах
- Arcotangente de 3/5 (arctan 3/5) en grados y radianes
- Arco tangente de 3/5 (arctg 3/5) em graus e radianos