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Prove that: i) sin40^(@)cos50^(@)+cos4...

Prove that:
i) `sin40^(@)cos50^(@)+cos40^(@)sin50^(@)=1`
ii) `cot(270^(@)-theta)cot(270^(@)+theta)(cot(540^(@)-theta)cot(540^(@)+theta)=1`
iii) `cospi/8+cos(3pi)/8+cos(5pi)/8+cos(7pi)/8=0`

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