Verify the identity?

sin(w) = s
cos(w) = c
tan(w) = t

s/(s + c) = t/(t + 1)

1. cross multiply
s(t + 1) = t(s + c)
st + s = st + tc

2. t = s/c so tc = s
st + s = st + s

(sin(w)/cos(w))/[(sinw+cosw)/cosw] = ...