Arctan of 30
Arcsin, Arccos, Arctan, Arccot
What is arctan(30)?
Answer
arctan(30) ≈
88.0908° ≈ 1.5375 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.
If 30 is an angle in degrees, you need the direct function: tan 30° = √3/3.
arctan(30) is the angle α in (−90°, 90°) with tan α = 30.
tan 88.0908° ≈ 29.9993 — not exactly 30 because the angle is rounded to 4 decimal places.
α = arctan(30) ≈ 88.0908°
P ≈ (0.0333, 0.9994)
T(1, 30) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 30.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(30) | does not exist | — |
| arccos(30) | does not exist | — |
| arctan(30) | ≈ 88.0908° | ≈ 1.5375 |
| arccot(30) | ≈ 1.9092° | ≈ 0.0333 |
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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 |
|---|---|
| 5 | ≈ 78.6901° |
| 6 | ≈ 80.5377° |
| 7 | ≈ 81.8699° |
| 10 | ≈ 84.2894° |
| 20 | ≈ 87.1376° |
| 30 | ≈ 88.0908° |
| 60 | ≈ 89.0452° |