Arcsin of 4/5
Arcsin, Arccos, Arctan, Arccot
What is arcsin(4/5)?
Answer
arcsin(4/5) ≈
53.1301° ≈ 0.9273 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.
4/5 = 0.8.
arcsin(4/5) is the angle α in [−90°, 90°] with sin α = 4/5.
sin 53.1301° ≈ 0.8000
α = arcsin(4/5) ≈ 53.1301°
P = (0.6, 0.8)
P lies on the line y = 4/5 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 4/5.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(4/5) | ≈ 53.1301° | ≈ 0.9273 |
| arccos(4/5) | ≈ 36.8699° | ≈ 0.6435 |
| arctan(4/5) | ≈ 38.6598° | ≈ 0.6747 |
| arccot(4/5) | ≈ 51.3402° | ≈ 0.8961 |
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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--4-5">Arcsin of 4/5 (Inverse Sine) in Degrees and Radians</a>Facebook
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![Arcsin of 4/5 (Inverse Sine) in Degrees and Radians. arcsin(4/5) ≈ 53.1301° ≈ 0.9273 rad: the angle in [−90°, 90°] whose sine is 4/5. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arcsin--4-5/generated.jpg)
Arcsine of nearby values
| x | arcsin x |
|---|---|
| 0.7 | ≈ 44.4270° |
| √2/2 | 45° = π/4 |
| 3/4 | ≈ 48.5904° |
| 4/5 | ≈ 53.1301° |
| √3/2 | 60° = π/3 |
| 0.9 | ≈ 64.1581° |
| 1 | 90° = π/2 |