Question

if angle A and Angle B are acute angle such that cosA =cos B then show that angleA = Angle B

Answer 1

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Here is your answer

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Given .....

Angle A and B are acute angle ...

in which Cos A = CosB


To prove ......

∠A = ∠ B

Proof ....

Cos A = AC/AB

CosB = BC/AB


AC/AB = BC/AB .......... (AB cancel)

AC = BC

SO,

∠A = ∠B.....( Since opp. angle of equal side are equal .)


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