Question

If tan A = Cot B, prove that A + B =90 degree.

Answer 1

Hey

Here is your answer,

tan A = cot B
Cot (90-A) = cot B
90 - A = B
A+B=90

Hence proved

Hope it helps you!

Answer 2

TanA=CotB(90-A). Cot(90-A) =CotB. Comparing angles. 90-A=B. So,A+B=90