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.
arctan(−√3/3) = −arctan(√3/3) = −30°
tan(−30°) = −√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) | ≈ 125.2644° | ≈ 2.1863 |
| arctan(−√3/3) | −30° | −π/6 |
| arccot(−√3/3) | 120° | 2π/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 |
|---|---|
| −4/3 | ≈ −53.1301° |
| −1 | −45° = −π/4 |
| −4/5 | ≈ −38.6598° |
| −√3/3 | −30° = −π/6 |
| −0.3 | ≈ −16.6992° |
| 0 | 0° = 0 |
| 0.1 | ≈ 5.7106° |