Question

if angle A and angle B are acute angles such that tan A =tan P , then show that angle A = angle P

Answer 1

In a triangle 
Cos A = cos B 
 
AC/AB= BC/AB 
⇒AC=BC 
⇒Angle A and Angle B

∠A = ∠B

Answer 2

$hello \: dear$


Solution : - consider a right traingle ABC having two acute angle

°•° TanA = TanB ( Given)

since , BC / AC= AC /BC

=> BC² = AC²

=> BC = AC

so , TanA = 1 and similarly tanB = 1

And as we know that 1 = tan45°

since, tanA = tan45°

A = 45°

Similarly tanB = tan45°

B = 45°

Hence, A = B

$|hence \: proved|$


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