Question

Prove sin/cos is tan

Answer 1

we know that,
sin x = opp/ hyp
and
cos x = adj / hyp

sin x / cos x= (opp/hyp) / (adj/hyp)
                   = (opp/hyp) × (hyp/ adj)
                   = opp/adj
                  = tan x
therefore, sin x/ cos x = tan x
hence proved

Answer 2

sin=p/h
cos=b/h
so, sin/cos=p/b
tan=p/b
hence,proved