Question

If angle A and angle B are acute angle such that tanA=tanB then prove that angle A = angle B.

Answer 1

hellodear!!!

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

\bf \huge \blue {A\: = B prooved }A=Bprooved
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\bf \pink{hope \: this \: helps \: you}hopethishelpsyou

Answer 2

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