Question

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

Answer 1

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Answer 2

Answer:

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Explanation:

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In right ∆ ABC,

As both angle A and angle B are acute and only angle C can be 90°.

Since, in trigonometry we consider a right angled triangle

Given, cos A = cos B

=) AC/AB  = CB/AB

=) AC = CB

Therefore,

Angle A = Angle B (Hence Proved)