if cosA = cos B prove that A= B
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Answer:
According to the question:-
Let cosA=
Hypotenuse
sideadjacentA
AB
AC
Similarly,
cosB=
Hypotenuse
sideadjacentB
=
AB
BC
Given that
cosA=cosB
AB
AC
=
AB
BC
AC=BC
In triangle,
angles opposite equal side are equal
∠B=∠A
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