Question

if tan A = cot B where A and B acute angles ,prove that A+B = 90°

Answer 1

tanA=cotB

COT(90-A)=COTB

CANCEL COT ON BOTH SIDES

90-A=B

A+B=90

Answer 2

tan A= cot B
tan A. =tan( 90 -B)
A. =(90- B)
A +B. =90
hence prooved