If ∠ A and ∠ B are acute angles such that cos A = cos B, then show that ∠ A = ∠ B
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hy freind
as given that :-
cos A = cos B
to Show:-
/_A=/_B
Now in Right angle ∆ABC
Cos A= AC/AB , Cos B= BC/AB
A/C we know , CosA= CosB
=> AC/AB = BC /AB { common}
=>AC= BC
Since opposite angle of equal side are equal
=> /_A = /_B
Hence proved
HOPE THIS HELP YOU :)
as given that :-
cos A = cos B
to Show:-
/_A=/_B
Now in Right angle ∆ABC
Cos A= AC/AB , Cos B= BC/AB
A/C we know , CosA= CosB
=> AC/AB = BC /AB { common}
=>AC= BC
Since opposite angle of equal side are equal
=> /_A = /_B
Hence proved
HOPE THIS HELP YOU :)
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