Arccos of −0.3
Arcsin, Arccos, Arctan, Arccot
What is arccos(−0.3)?
Answer
arccos(−0.3) ≈
107.4576° ≈ 1.8755 rad
Range: arccos x is an angle from 0° to 180°, so the answer is unique.
≈ — the value is not a table one; rounded to 4 decimal places.
arccos(−0.3) is the angle α in [0°, 180°] with cos α = −0.3.
arccos(−0.3) = 180° − arccos(0.3) ≈ 180° − 72.5424° = 107.4576°
cos 107.4576° ≈ −0.3000
α = arccos(−0.3) ≈ 107.4576°
P ≈ (−0.3, 0.9539)
P lies on the line x = −0.3 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = −0.3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(−0.3) | ≈ −17.4576° | ≈ −0.3047 |
| arccos(−0.3) | ≈ 107.4576° | ≈ 1.8755 |
| arctan(−0.3) | ≈ −16.6992° | ≈ −0.2915 |
| arccot(−0.3) | ≈ 106.6992° | ≈ 1.8623 |
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
Arccosine of nearby values
| x | arccos x |
|---|---|
| −4/5 | ≈ 143.1301° |
| −√2/2 | 135° = 3π/4 |
| −1/2 | 120° = 2π/3 |
| −0.3 | ≈ 107.4576° |
| 0 | 90° = π/2 |
| 0.1 | ≈ 84.2608° |
| 0.14 | ≈ 81.9522° |
FAQ
What is arccos(−0.3)?
arccos(−0.3) ≈ 107.4576° ≈ 1.8755 rad
Why is arccos(−0.3) ≈ 107.4576° and not −72.5424°?
The range of arccos is from 0° to 180°: there are no negative angles in it. A negative x gives an angle greater than 90°: arccos(−0.3) = 180° − arccos(0.3) ≈ 180° − 72.5424° = 107.4576°. The angle −72.5424° does not fit: cos(−α) = cos α, so its cosine is positive.
Why does a calculator show 1.8755 for arccos(−0.3)?
The calculator is in radian mode (RAD) and gives the angle in radians: arccos(−0.3) ≈ 1.8755 rad. In degrees (DEG) it is ≈ 107.4576°.
See Also
- Arccos of −1 (Inverse Cosine) in Degrees and Radians
- Arccos of −1/2 (Inverse Cosine) in Degrees and Radians
- Arccos of −4/5 (Inverse Cosine) in Degrees and Radians
- Arccos of −√2/2 (Inverse Cosine) in Degrees and Radians
- Arccos of −√3/2 (Inverse Cosine) in Degrees and Radians
- Arccos of 0 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.1 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.3 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.7 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.9 (Inverse Cosine) in Degrees and Radians
- Арккосинус −0.3 (arccos −0.3) в градусах и радианах
- Arcocoseno de −0.3 (arccos −0.3) en grados y radianes
- Arco cosseno de −0.3 (arccos −0.3) em graus e radianos