Question

if TAN A is equal to COT B prove that a + b is equal to 90

Answer 1

Tan A = Cot B

Tan A = Tan ( 90 - B)
[Cot B = Tan ( 90 - B)]

A = 90 - B

A + B = 90°

Hence Proved.

Answer 2

$\mathcal\red{Heyya}$❤

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

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

$\bf\red{Thank\:You}$☺