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(d) (1 + cos a) (1 - cos a) /(1 + sin a) (1 - sin a)= tan2 a​

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((1 - \cos(a))(1 + \cos(a)) )/((1 - \sin(a) )(1 + \sin(a)) ) = \\


\frac{1 - {cos}^(2)(a) }{1 - {sin}^(2)(a) } = \\


\frac{ {sin}^(2)(a) }{ {cos}^(2)(a) } = \\


{tan}^(2) (a)

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