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Prove that cot((pi)/8) - tan((pi)/8) = 2...

Prove that `cot((pi)/8) - tan((pi)/8) = 2`

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`cot(pi/8)-tan(pi/8)=1/(tan(pi/8))-tan(pi/8)/1=1-tan^2(pi/8)/tan(pi/8)=2/tan(2xxpi/8)=2/tan(pi/4)=2`
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