Arccos of −1
Arcsin, Arccos, Arctan, Arccot
What is arccos(−1)?
Answer
arccos(−1) =
180° = π
Range: arccos x is an angle from 0° to 180°, so the answer is unique.
arccos(−1) is the angle α in [0°, 180°] with cos α = −1.
arccos(−1) = 180° − arccos(1) = 180° − 0° = 180°
α = arccos(−1) = 180°
P(cos 180°, sin 180°) = (−1, 0)
P lies on the line x = −1 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = −1.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(−1) | −90° | −π/2 |
| arccos(−1) | 180° | π |
| arctan(−1) | −45° | −π/4 |
| arccot(−1) | 135° | 3π/4 |
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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/arccos---1">Arccos of −1 (Inverse Cosine) in Degrees and Radians</a>Facebook
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![Arccos of −1 (Inverse Cosine) in Degrees and Radians. arccos(−1) = 180° = π: the angle in [0°, 180°] whose cosine is −1. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos---1/generated.jpg)