Question

Tan A = Cot B then prove A+B=90

Answer 1

Tan A= cot B
Cot (90-A) = cot B
Cot will cut with cot
So, 90-A = B
A+B=90

Answer 2

$\mathcal\red{\underline{Heyya}}$

$\bf\red{\underline{Solution:-}}$

It is given that

tan A = cot B

⇒tan A=tan (90° −B )        

{ °•° cot B = tan ( 90° − B ) }

⇒A = 90° −B

⇒A + B= 90°

Hence Proved

$\bf\red{Thank\:You}$☺