SOLUTION: Simplify: cosx/(1+sinx)

Question 974679: Simplify: cosx/(1+sinx)
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
cosx/(1+sinx)
cos x(1-sinx)/[(1+sinx)(1-sinx)] ;; multiply by (1-sin x/1-sin x)
cosx-sinxcosx/(1-sin^2x) ;;; 1-sin^2x=cos^2x
cosx-sinxcosx/cos^2x
(1/cosx)-(sinx/cosx)=
sec x - tan x.
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