Arccos of 60
Arcsin, Arccos, Arctan, Arccot
What is arccos(60)?
Answer
arccos 60
does not exist
Range: arccos x is an angle from 0° to 180°, so the answer is unique.
The cosine of any angle lies between −1 and 1, and 60 is outside — no angle has such a cosine.
If 60 is an angle in degrees, you need the direct function: cos 60° = 1/2.
An angle α with cos α = 60 would have to lie on the line x = 60, but that line passes to the right of the circle.
The line x = 60 passes to the right of the circle, beyond the drawing: they have no common point, so no angle α has cos α = 60.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(60) | does not exist | — |
| arccos(60) | does not exist | — |
| arctan(60) | ≈ 89.0452° | ≈ 1.5541 |
| arccot(60) | ≈ 0.9548° | ≈ 0.0167 |
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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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Arccosine of nearby values
| x | arccos x |
|---|---|
| 4/5 | ≈ 36.8699° |
| √3/2 | 30° = π/6 |
| 0.9 | ≈ 25.8419° |
| 12/13 | ≈ 22.6199° |
| 1 | 0° = 0 |
| 2 | does not exist |
| 60 | does not exist |