Question

in aABC, right angled at c if tan A =1 upon root 3, show that : Sin a cos b+ cos a sin b=1

Answer 1

TanA=1/root3 then A=30
C=90 therefore B=60
SinA cosB+cosA sinB=1/2*1/2+Root3/2*root3/2
=1/4+3/4=1