Arctan of 1
Arcsin, Arccos, Arctan, Arccot
What is arctan(1)?
Answer
arctan(1) =
45° = π/4
Range: arctan x is an angle strictly between −90° and 90°, so the answer is unique.
arctan(1) is the angle α in (−90°, 90°) with tan α = 1.
α = arctan(1) = 45°
P(cos 45°, sin 45°) = (√2/2, √2/2)
T(1, 1) is where line OP meets the line x = 1; highlighted: tan α = 1.
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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 |
|---|---|
| 4/5 | ≈ 38.6598° |
| 5/6 | ≈ 39.8056° |
| 0.9 | ≈ 41.9872° |
| 1 | 45° = π/4 |
| 3/2 | ≈ 56.3099° |
| 5/3 | ≈ 59.0362° |
| √3 | 60° = π/3 |