Arctan of 1/3
Arcsin, Arccos, Arctan, Arccot
What is arctan(1/3)?
Answer
arctan(1/3) ≈
18.4349° ≈ 0.3218 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(1/3) is the angle α in (−90°, 90°) with tan α = 1/3.
tan 18.4349° ≈ 0.3333
α = arctan(1/3) ≈ 18.4349°
P ≈ (0.9487, 0.3162)
T(1, 1/3) is where line OP meets the line x = 1; highlighted: tan α = 1/3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/3) | ≈ 19.4712° | ≈ 0.3398 |
| arccos(1/3) | ≈ 70.5288° | ≈ 1.2310 |
| arctan(1/3) | ≈ 18.4349° | ≈ 0.3218 |
| arccot(1/3) | ≈ 71.5651° | ≈ 1.2490 |
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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 |
|---|---|
| 1/5 | ≈ 11.3099° |
| 1/4 | ≈ 14.0362° |
| 0.3 | ≈ 16.6992° |
| 1/3 | ≈ 18.4349° |
| 2/5 | ≈ 21.8014° |
| 1/2 | ≈ 26.5651° |
| √3/3 | 30° = π/6 |