Arcsin of 1/5
Arcsin, Arccos, Arctan, Arccot
What is arcsin(1/5)?
Answer
arcsin(1/5) ≈
11.5370° ≈ 0.2014 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.
1/5 = 0.2.
arcsin(1/5) is the angle α in [−90°, 90°] with sin α = 1/5.
sin 11.5370° ≈ 0.2000
α = arcsin(1/5) ≈ 11.5370°
P ≈ (0.9798, 0.2)
P lies on the line y = 1/5 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 1/5.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/5) | ≈ 11.5370° | ≈ 0.2014 |
| arccos(1/5) | ≈ 78.4630° | ≈ 1.3694 |
| arctan(1/5) | ≈ 11.3099° | ≈ 0.1974 |
| arccot(1/5) | ≈ 78.6901° | ≈ 1.3734 |
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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--1-5">Arcsin of 1/5 (Inverse Sine) in Degrees and Radians</a>Facebook
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![Arcsin of 1/5 (Inverse Sine) in Degrees and Radians. arcsin(1/5) ≈ 11.5370° ≈ 0.2014 rad: the angle in [−90°, 90°] whose sine is 1/5. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arcsin--1-5/generated.jpg)
Arcsine of nearby values
| x | arcsin x |
|---|---|
| −0.3 | ≈ −17.4576° |
| 0 | 0° = 0 |
| 0.1 | ≈ 5.7392° |
| 1/5 | ≈ 11.5370° |
| 1/4 | ≈ 14.4775° |
| 0.3 | ≈ 17.4576° |
| 2/5 | ≈ 23.5782° |