Question

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

Answer 1

AnswEr:-

In triangle ABC ,

→Cos A = opposite side / hypo.

              = AC / AB -------(1 )

→Cos B = adjacent side / hypo.

           = BC / AB ------(2 )

→ Given that , cos A = cos B

Thus by 1 and 2,

⇒ AC / AB = BC / AB

Thus

⇒ AC . AB = BC . AB

⇒ AC = BC

→ thus, AC and BC are two sides of triangle ABC

→ angles opposite to equal sides are equal .

∴ ∠A = ∠B

HENCE PROVED

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Answer 2

Step-by-step explanation:

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