Question

If tan a = cot a then prove that a+b = 90°

Answer 1

TO PROVE : tan a = cot b
PROVE :
WE CAN WRITE tan a AS cot(90-a)

Put it in tan a = cot b
=> cot (90 - a) = cot b
=> 90- a = b
=> 90 = a + b

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

$\bf\red{Thank\:You}$☺