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Use De Moivre’s theorem to prove that for any p,q ∈ ?, that (????? + ?...

Use De Moivre’s theorem to prove that for any p,q ∈ ?,
that (????? + ? ?????)(????? + ? ?????) = cos(? + ?)? + ????(? + ?)?

Hence simplify (cos 3? +? ???3?) / (cos 5?−? sin 5?)

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