sinx/ = 1/ − 1/ algebraically. (5)

1 + cosx sin x tan x

please show me the steps and how you got the answer

I assume you mean

sinx/(1+cosx)
sinx(1-cosx) / (1+cosx)(1-cosx)
sinx(1-cosx) / (1-cos^2x)
sinx(1-cosx) / sin^2x
(1-cosx)/sinx
1/sinx - cosx/sinx
1/sinx - cotx
1/sinx - 1/tanx