Table of Contents
What is it that you are calculating when given cos (- 1 )(- 1 2 )?
Hence, cos−1(−12)=120∘ .
What is Cos inverse half?
cos−1(12)=π3.
What is the value of cos =- 1 2?
The exact value of arccos(12) arccos ( 1 2 ) is π3 . The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from 2π to find the solution in the fourth quadrant.
What is the value of Cos inverse 2?
Explanation: As a Real valued function of Real angles cos(x):R→[−1,1] does not take the value 2 , or indeed any value in (−∞,−1)∪(1,∞) , so cos−1(2) is undefined.
What angle has a cosine of 1 2?
60°
Sines and cosines for special common angles
| Degrees | Radians | cosine |
|---|---|---|
| 90° | π/2 | 0 |
| 60° | π/3 | 1/2 |
| 45° | π/4 | √2 / 2 |
| 30° | π/6 | √3 / 2 |
What is the angle of cos =- 1 2?
Since it’s not specified if 1/2 is degrees or radians, we should assume radians, so cos(1/2) is approximately 0.87758256189. On the other hand if you meant to ask what angle has a cosine value of 1/2, i.e., arccos(1/2), then the angle is pi/6.
What is the COS inverse?
The arccos function is the inverse of the cosine function. It returns the angle whose cosine is a given number. Means: The angle whose cosine is 0.866 is 30 degrees.
What is the cosine inverse of 1?
As you can see below, the inverse cos-1 (1) is 0° or, in radian measure, 0 . ‘1’ represents the maximum value of the cosine function. It happens at 0 and then again at 2Π, 4Π, 6Π etc..
How do you find the value of cos inverse?
So, let’s say that:
- v=arccos(−1) If this is the case, then:
- cos(v)=−1. It turns out that:
- cos(π)=−1. Therefore, v=π and this is your answer. You can check this result by looking at the y=arccosx graph below. When x=−1 , y=π which confirms that the result we’ve obtained is correct. graph{y=arccosx [-10, 10, -5, 5]}
What is arccos2?
The arccosine is the inverse cosine function. Since the cosine function has output values from -1 to 1, the arccosine function has input values from -1 to 1. So arccos x is undefined for x=2. arccos 2 is undefined.