Arcsin of 1/2
Arcsin, Arccos, Arctan, Arccot
What is arcsin(1/2)?
Answer
arcsin(1/2) =
30° = π/6
Range: arcsin x is an angle from −90° to 90°, so the answer is unique.
1/2 = 0.5.
arcsin(1/2) is the angle α in [−90°, 90°] with sin α = 1/2.
α = arcsin(1/2) = 30°
P(cos 30°, sin 30°) = (√3/2, 1/2)
P lies on the line y = 1/2 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 1/2.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/2) | 30° | π/6 |
| arccos(1/2) | 60° | π/3 |
| arctan(1/2) | ≈ 26.5651° | ≈ 0.4636 |
| arccot(1/2) | ≈ 63.4349° | ≈ 1.1071 |
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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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<a href="https://calculat.io/en/number/inverse-trigonometry/arcsin--1-2">Arcsin of 1/2 (Inverse Sine) in Degrees and Radians</a>Facebook
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![Arcsin of 1/2 (Inverse Sine) in Degrees and Radians. arcsin(1/2) = 30° = π/6: the angle in [−90°, 90°] whose sine is 1/2. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arcsin--1-2/generated.jpg)
Arcsine of nearby values
| x | arcsin x |
|---|---|
| 1/4 | ≈ 14.4775° |
| 0.3 | ≈ 17.4576° |
| 2/5 | ≈ 23.5782° |
| 1/2 | 30° = π/6 |
| 3/5 | ≈ 36.8699° |
| 2/3 | ≈ 41.8103° |
| 0.7 | ≈ 44.4270° |