Question

If cos a=cos b then show that a=b

Answer 1

Answer:

here is your answer friend!

Explanation:

In triangle ABC ,

Cos A = opposite side / hypo.

= AC / AB -1

Cos B = adjacent side / hypo.

= BC / AB -2

given- 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

Thus angle A = angle B ( angles opposite to equal sides are equal )

Hope it helps

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