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How can I prove this identity?

(1 + sinØ + cosØ):(1 - sinØ + cosØ) =
(1 + sinØ) : cosØ

  • Math -

    Work on the left hand side:
    (1 + sinØ + cosØ)/(1 - sinØ + cosØ)
    multiply both the numerator and denominator by (1-sinφ+cosφ) and simplify:
    Now multiply top and bottom by (1+sinφ)

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