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The image contains a mathematical problem, written in Persian, involving the trigonometric function cosine. Here is the problem transcribed and translated:

The given equation is:

\[
\cos \theta = \frac{9\pi}{5}
\]

The task appears to be finding the angle \( \theta \) in degrees corresponding to this cosine value.

### Step-by-step Solution:

1. **Recognize the equation:**
   The equation is \( \cos(\theta) = \frac{9\pi}{5} \), which is unusual because the range of cosine values is between -1 and 1. However, it's important to clarify whether this represents the angle or if there is some contextual error (perhaps it refers to radians).

2. **Review the Range of Cosine Function:**
   The cosine function outputs values in the range from -1 to 1. Since \( \frac{9\pi}{5} \approx 5.65 \), this number is outside the possible range of the cosine function. Hence, the equation as written cannot be directly solved unless there is an error in interpretation.

Could you please confirm whether this was a typo or if there is more context to consider?

### Follow-up Questions:
1. Could you confirm if \( \frac{9\pi}{5} \) represents the angle instead of the cosine value?
2. Is there any additional context or clarification for this problem?
3. Should we work with radians instead of degrees?
4. Would you like me to explore alternative interpretations for this question?
5. Should we check for any transformations applied to the trigonometric function?

#### Tip:
Remember, the cosine of any angle will always lie between -1 and 1. If a value lies outside this range, it could indicate an issue with the interpretation or inputs provided.

Find the angles based on the trigonometric properties provided.

Solve a trigonometric problem involving the cosine function and angles of 360° and 240°. Detailed step-by-step instructions suitable for Grades 9-12.

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