Question

If angle A and angle B are acute angles such that cosA = cosB, then show that angle A = angle B.
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Answer 1

Step-by-step explanation:

According to the question:-

Let cosA=

Hypotenuse

sideadjacentA

AB

AC

Similarly,

cosB=

Hypotenuse

sideadjacentB

=

AB

BC

Given that

cosA=cosB

AB

AC

=

AB

BC

AC=BC

In triangle,

angles opposite equal side are equal

∠B=∠A