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Part 1

Use a calculator to find the value of the following expression rounded to two decimal places.

cosine Superscript negative 1 Baseline two seventhscos−127      

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Part 1

cosine Superscript negative 1 Baseline two seventhscos−127equals=1.171.17 

​radian(s)

​(Type your answer in radians.  Round to the nearest hundredth as​ needed.

To solve the problem, we need to find the value of \(\cos^{-1}\left(\frac{2}{7}\right)\) using a calculator and express the answer in radians, rounded to two decimal places.

### Steps:
1. **Calculate the arccosine**: Use the inverse cosine function on a calculator.
   \[
   \cos^{-1}\left(\frac{2}{7}\right)
   \]
2. **Round the result**: After computing the value, round the answer to the nearest hundredth.

### Solution:
Using a calculator:
\[
\cos^{-1}\left(\frac{2}{7}\right) \approx 1.27 \text{ radians}
\]

So, the answer is approximately **1.27 radians**.

Would you like to see the detailed steps for using the inverse cosine function on a calculator or have any other questions?

Here are 5 related questions:
1. What is the relationship between the inverse cosine function and the cosine function?
2. How do you convert radians to degrees?
3. How can you use a calculator to find other inverse trigonometric functions?
4. What are the possible ranges of values for the \(\cos^{-1}(x)\) function?
5. How do you interpret the result of an inverse trigonometric function in terms of angles?

**Tip:** Always ensure your calculator is set to the correct mode (radians or degrees) depending on the problem you are solving.

Learn how to calculate the inverse cosine function \( \cos^{-1}\left(\frac{2}{7}\right) \) with a step-by-step solution rounded to two decimal places. This problem involves trigonometric concepts and practical application of inverse trigonometric functions. Suitable for high school students.

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