Question

If angle A and Angle B are acute angles such that cos A = cos B, then show that angle A= angle B.​

Answer 1

Answer:

Step-by-step explanation:

In the triangle ABC, given that cosA=cosB. From the triangle we obtain, cosA=  

AB

BC

​

, cosB=  

AB

AC

​

.

Its given that cosA=cosB, Hence  

AB

BC

​

=  

AB

AC

​

 and hence BC=AC. We know the triangle angles opposite equal sides are equal. Hence ∠A=∠B.