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31. If ZA and 4B are acute angles such that tan A tan B then prove thatLA 4B.

Answer»

If angle A and angle B. are acute angle and tanA = tanB so, sinA/cosA = sinB/cosB => sinAcosB -sinBcosA. = 0=> sin(A-B) = 0 ... ( standard identity ) so A-B = 0 or A = B.



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