Question

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

Answer 1

cos A=cos B
therefore by comparison;
A=B
Hence proved.
This method can't be used in two different triangles.

Answer 2

HEY THERE!!


Question;

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

Method of Solution;

Let us consider right angled triangle ACB.

We know that Cos A = Adjacent Side/Hypotenuse

Thus, In right Angled triangle ∆ ACB

We have COS A = AC/AB

We have COS B = BC/AB

•°• Cos A = Cos B

°•° AC = BC


By Using Opposite side is Equal to the Opposite Angle!!


•°• ∠A = ∠B

PROVED!!!