Question

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

Answer 1

answer is 90° I hope this helps you

Answer 2

∠A =∠B proved

Step-by-step explanation:

Given: ∠A and ∠B are acute angles such that cos A = cos B

To prove: ∠A =∠B .

Solution:  

 Let Cos A = Cos θ

  Then ∠A = θ.

Given that Cos A = Cos B.

So Cos B will also be equal to Cos θ.

 Cos B = Cos θ

Implies that ∠B = θ

So we get ∠A = ∠B = θ

Hence ∠A = ∠B. Proved.