Arctan of −3
Arcsin, Arccos, Arctan, Arccot
What is arctan(−3)?
Answer
arctan(−3) ≈
−71.5651° ≈ −1.2490 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.
arctan(−3) is the angle α in (−90°, 90°) with tan α = −3.
arctan(−3) = −arctan(3) ≈ −71.5651°
tan(−71.5651°) ≈ −3.0000
α = arctan(−3) ≈ −71.5651°
P ≈ (0.3162, −0.9487)
T(1, −3) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = −3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(−3) | does not exist | — |
| arccos(−3) | does not exist | — |
| arctan(−3) | ≈ −71.5651° | ≈ −1.2490 |
| arccot(−3) | ≈ 161.5651° | ≈ 2.8198 |
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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 |