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March 28, 2017

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(sinθ+1)/(1-sinθ) =(tanθ+secθ)²

  • maths - ,

    (1+sinθ)/(1-sinθ)
    = (1+sinθ)/(1-sinθ) * (1+sinθ)/(1+sinθ)
    = (1+sinθ)^2 / (1-sin^2θ)
    = (1+2sinθ+sin^2θ)/cos^2θ
    = sec^2θ + 2secθtanθ + tan^2θ
    = (secθ+tanθ)^2

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