Question

If tan a=cot b where a and b are acute angle,prove that a+b=90

Answer 1

Answer:

Given:-

$\sf \implies \: \: Tan A =Cot B$

$\sf \implies Cot B = Tan (90°-B)$

$\sf \implies Tan A = Tan (90°-B)$

If A , B are acute angles , then A=90°-B

$\sf \implies \bold{A+B =90°}$

Hence proved