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.
arctan(−√3) = −arctan(√3) = −60°
tan(−60°) = −√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) | 150° | 5π/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 |
|---|---|
| −3 | ≈ −71.5651° |
| −2 | ≈ −63.4349° |
| −√3 | −60° = −π/3 |
| −4/3 | ≈ −53.1301° |
| −1 | −45° = −π/4 |
| −4/5 | ≈ −38.6598° |
| −√3/3 | −30° = −π/6 |