Proving trigonometry identities

Prove

1-sinx/1+sinx=sec^2x-2secxtanx + tan^x

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...-sinx))
=> ( (1-sinx)/(1-sin^2x) ) - ( (sinx-sin^2x)/ (1-sin^2x) )
=> ( (1-sinx) /cos^2x ) - ( (sinx -sinx ...