If `angleA and angleB` are acute angles such that cos A= cos B, then show then show that `angleA=angleB`.

Explanation

To prove that if \( \cos A = \cos B \) for acute angles \( A \) and \( B \), then \( A = B \), we can follow these steps:

### Step-by-Step Solution

1. **Given Information**: We know that \( \cos A = \cos B \).

2. **Understanding Cosine**: Recall that the cosine of an angle in a right triangle is defined as the ratio of the length of the adjacent side to the hypotenuse.
- For angle \( A \), we can express this as:
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