The equation you provided, \( \cos(A) = \frac{3}{11} \), gives us the cosine of an angle \( A \). To find the value of \( A \), you can take the inverse cosine (arccos) of \( \frac{3}{11} \).

So,

\[
A = \cos^{-1} \left( \frac{3}{11} \right)
\]

Using a calculator:

\[
A \approx \cos^{-1}(0.2727) \approx 74.2^\circ
\]

So, \( A \approx 74.2^\circ \).

Would you like more details, or do you have any further questions?

Here are 5 related questions:
1. How do you calculate the sine of angle \( A \) if \( \cos(A) \) is known?
2. How would you find the other trigonometric ratios (like tangent) for angle \( A \)?
3. What is the importance of the unit circle in understanding cosine values?
4. Can you explain how the inverse cosine function works?
5. What would the complementary angle to \( A \) be?

**Tip:** The cosine function gives the ratio of the adjacent side to the hypotenuse in a right triangle.

Learn how to find the angle A when cos(A) = 3/11 using trigonometric methods. This problem covers key concepts like the cosine function and inverse cosine function, suitable for students in Grades 9-11. Find a detailed step-by-step solution to calculate A ≈ 74.2°.

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