Arctan of √3
Arcsin, Arccos, Arctan, Arccot
What is arctan(√3)?
Answer
arctan(√3) =
60° = π/3
Range: arctan x is an angle strictly between −90° and 90°, so the answer is unique.
arctan(√3) is the angle α in (−90°, 90°) with tan α = √3.
α = arctan(√3) = 60°
P(cos 60°, sin 60°) = (1/2, √3/2)
T(1, √3) is where line OP meets the line x = 1; highlighted: tan α = √3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(√3) | does not exist | — |
| arccos(√3) | does not exist | — |
| arctan(√3) | 60° | π/3 |
| arccot(√3) | 30° | π/6 |
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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 | 45° = π/4 |
| 3/2 | ≈ 56.3099° |
| 5/3 | ≈ 59.0362° |
| √3 | 60° = π/3 |
| 2 | ≈ 63.4349° |
| 5/2 | ≈ 68.1986° |
| 3 | ≈ 71.5651° |