Arctan of √3/3
Arcsin, Arccos, Arctan, Arccot
What is arctan(√3/3)?
Answer
arctan(√3/3) =
30° = π/6
Range: arctan x is an angle strictly between −90° and 90°, so the answer is unique.
arctan(√3/3) is the angle α in (−90°, 90°) with tan α = √3/3.
α = arctan(√3/3) = 30°
P(cos 30°, sin 30°) = (√3/2, 1/2)
T(1, √3/3) is where line OP meets the line x = 1; highlighted: tan α = √3/3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(√3/3) | ≈ 35.2644° | ≈ 0.6155 |
| arccos(√3/3) | ≈ 54.7356° | ≈ 0.9553 |
| arctan(√3/3) | 30° | π/6 |
| arccot(√3/3) | 60° | π/3 |
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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
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Arctangent of nearby values
| x | arctan x |
|---|---|
| 1/3 | ≈ 18.4349° |
| 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° |