Question

If sin A = cos B, where A and B are acute angles then find A + B​

Answer 1

$We \: know \: \\ \\ sinA=cos(90−A)$

$Given, \: sinA=cosB$

$Cos B \: =cos(90−A)$

$⇒B=90−A$

$⇒A+B=90$

$Hence, A+B=90$

Answer 2

Answer:

Weknow

sinA=cos(90−A)

Given, \: sinA=cosBGiven,sinA=cosB

Cos B \: =cos(90−A)CosB=cos(90−A)

⇒B=90−A⇒B=90−A

⇒A+B=90⇒A+B=90

Hence, A+B=90Hence,A+B=90