Question

igonometric ratios.
If A and B are acute angles such that cos A= cos B, then show that angle A= angleB
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Answer 1

Answer:

According to the question:-

Let cosA=

side adjacent a / hypotenuse

AC/AB

Similarly,

cosB=

side adjacent A / hypotenuse

=BC/AB

Given that

cosA=cosB

AC/AB =BC/ AB

AC=BC

In triangle,

angles opposite equal side are equal

∠B=∠A