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Suppose that neither A-15^(@) nor A-75^(...

Suppose that neither `A-15^(@)` nor `A-75^(@)` is an integral multiple of `180^(@)`. Then prove that `cot(15^(@)-A)+tan(15^(@)+A)=(4cos2A)/(1-2sin2A)` and deduce that `tan 15^@)=2-sqrt(3)`.

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