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    Prove that (1+tanx)^2-2tanx=1/(1-sinx)(1+sinx)

    Homework Statement prove that: (1+tanx)^2-2tanx=1/(1-sinx)(1+sinx)Homework Equations Main question is does 1/cosx^2 = secx^2? More in my attempt at the solution.The Attempt at a Solution (1+tanx)^2-2tanx=1/(1-sinx)(1+sinx) (1+tanx)(1+tanx)= 1+2tanx+tanx^2 1+2tanx+tanx^2-2tanx=1+tanx^2...