Arcsin of 3/5
Arcsin, Arccos, Arctan, Arccot
What is arcsin(3/5)?
Answer
arcsin(3/5) ≈
36.8699° ≈ 0.6435 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.
3/5 = 0.6.
arcsin(3/5) is the angle α in [−90°, 90°] with sin α = 3/5.
sin 36.8699° ≈ 0.6000
α = arcsin(3/5) ≈ 36.8699°
P = (0.8, 0.6)
P lies on the line y = 3/5 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 3/5.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(3/5) | ≈ 36.8699° | ≈ 0.6435 |
| arccos(3/5) | ≈ 53.1301° | ≈ 0.9273 |
| arctan(3/5) | ≈ 30.9638° | ≈ 0.5404 |
| arccot(3/5) | ≈ 59.0362° | ≈ 1.0304 |
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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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![Arcsin of 3/5 (Inverse Sine) in Degrees and Radians. arcsin(3/5) ≈ 36.8699° ≈ 0.6435 rad: the angle in [−90°, 90°] whose sine is 3/5. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arcsin--3-5/generated.jpg)
Arcsine of nearby values
| x | arcsin x |
|---|---|
| 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° |
| √2/2 | 45° = π/4 |