If acosa=bcosb then prove that the triangle is either a right angled or an isoscales triangle
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by sin rule a=2RsinA
b=2RsinB
so Rsin2A=Rsin2B
sin2A=sin2B
so A=B or A+B=90
b=2RsinB
so Rsin2A=Rsin2B
sin2A=sin2B
so A=B or A+B=90
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