Question

if angle A and Angle B are acute angles such that cos A is equals to cos B then show that angle A = Angle B

Answer 1

Answer:

Step-by-step explanation:

Given ∆ is right angled ∆

with the angles A and B are acute.

Naturally AB is hypotenuse and AC and BC are other two sides.

cos A = AC/AB and cos B = BC/AB

But, Cos A= cos B (given).

So, AC/AB = BC/AB

Hence, side AC= BC

Angles opposite to the equal sides are equal.

Hence, angle B = angle A.

Answer 2

Answer -

• Refer the attachment for Answr.

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