Question

if tan 2a =cot b prove that a+b =90 degree

Answer 1

Your answer---

Tan a=Cot b
i.e., Tan a=Tan(90-b)
therefore, a=90-b
hence ,
a+b=90

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

$\bf\red{Thank\:You}$☺