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Prove that (1 + cos) / (sin + tan) = cot

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LS = (1+cosØ)/(sinØ + sinØ/cosØ)
multiply top and bottom by cosØ
= cosØ(1+cosØ)/(sinØcosØ + sinØ)
= cosØ(1+cosØ/(sinØ(cosØ + 1))
= cosØ/sinØ
= cotØ
= RS
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