**Trigonometric Ratios CBSE NCERT Solutions Chapter 8 Exercise 8.1 Question 6**

**6. **If and are acute angles such that cos A = cos B, then show that = .

**Solution:**

It is given that cos A = cos B.

**(1)**

Let, ** (2)**

And,

**Using Pythagoras Theorem on both the triangles, we can say that**

and

** (3)**

From **(1), (2) and (3)**, we can say that

Therefore, by **SSS similarity criterion**, ~

Therefore, **{Corresponding Angles of similar triangles are equal.}**

**Hence Proved**