To find the value of \(\arccos(-0.88)\), we need to determine the angle whose cosine is \(-0.88\).

In radians:
\[
\arccos(-0.88) \approx 2.6366 \, \text{radians}
\]

In degrees:
\[
\arccos(-0.88) \approx 151.12^\circ
\]

The angle lies in the second quadrant since the cosine of a negative value corresponds to an angle between \(90^\circ\) and \(180^\circ\).

Would you like more details on how to compute this value?

Here are five related questions to deepen your understanding:
1. What is the range of the arccos function?
2. How do you convert between degrees and radians?
3. What is the general behavior of the cosine function in different quadrants?
4. How does \(\arccos(x)\) compare to \(\arcsin(x)\)?
5. Can you solve for \(\arccos(0.5)\) and explain the result?

**Tip:** The arccosine function gives an angle in the range \(0 \leq \theta \leq \pi\) (in radians), or \(0^\circ \leq \theta \leq 180^\circ\) (in degrees).

Discover how to find the value of arccos(-0.88) in both radians and degrees. This problem involves trigonometric concepts like inverse cosine functions, providing a clear solution of approximately 2.6366 radians or 151.12 degrees. Perfect for high school students (Grades 10-12).

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