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.
arcsin(−4/5) = −arcsin(4/5) ≈ −53.1301°
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) | ≈ 143.1301° | ≈ 2.4981 |
| arctan(−4/5) | ≈ −38.6598° | ≈ −0.6747 |
| arccot(−4/5) | ≈ 128.6598° | ≈ 2.2455 |
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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 |
|---|---|
| −1 | −90° = −π/2 |
| −√3/2 | −60° = −π/3 |
| −4/5 | ≈ −53.1301° |
| −√2/2 | −45° = −π/4 |
| −1/2 | −30° = −π/6 |
| −0.3 | ≈ −17.4576° |
| 0 | 0° = 0 |