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Prove that (cosy/1+siny) + (1+siny/cosy) = 2secy

  • Trigonometry -

    Left Side
    = cosy/(1+siny) + (1+siny)/cosy , notice the proper brackets !!
    = (cos^ y + 1 + 2siny + sin^2 y)/[cosy(1+siny)]
    = (2 + 2siny)/[cosy(1+siny)]
    = 2(1+siny)/[cosy(1+siny)]
    = 2/cosy
    = 2secy
    = Right Side

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