Arcsin of 2/3
Arcsin, Arccos, Arctan, Arccot
What is arcsin(2/3)?
Answer
arcsin(2/3) ≈
41.8103° ≈ 0.7297 rad
Range: arcsin x is an angle from −90° to 90°, so the answer is unique.
≈ — the value is not a table one; rounded to 4 decimal places.
arcsin(2/3) is the angle α in [−90°, 90°] with sin α = 2/3.
sin 41.8103° ≈ 0.6667
α = arcsin(2/3) ≈ 41.8103°
P ≈ (0.7454, 0.6667)
P lies on the line y = 2/3 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 2/3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(2/3) | ≈ 41.8103° | ≈ 0.7297 |
| arccos(2/3) | ≈ 48.1897° | ≈ 0.8411 |
| arctan(2/3) | ≈ 33.6901° | ≈ 0.5880 |
| arccot(2/3) | ≈ 56.3099° | ≈ 0.9828 |
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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--2-3">Arcsin of 2/3 (Inverse Sine) in Degrees and Radians</a>Facebook
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![Arcsin of 2/3 (Inverse Sine) in Degrees and Radians. arcsin(2/3) ≈ 41.8103° ≈ 0.7297 rad: the angle in [−90°, 90°] whose sine is 2/3. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arcsin--2-3/generated.jpg)
Arcsine of nearby values
| x | arcsin x |
|---|---|
| 2/5 | ≈ 23.5782° |
| 1/2 | 30° = π/6 |
| 3/5 | ≈ 36.8699° |
| 2/3 | ≈ 41.8103° |
| 0.7 | ≈ 44.4270° |
| √2/2 | 45° = π/4 |
| 3/4 | ≈ 48.5904° |