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Prove that (sin70^(@)-cos40^(@))/(cos50^...

Prove that `(sin70^(@)-cos40^(@))/(cos50^(@)-sin20^(@)) = 1/(sqrt(3))`.

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Prove that sin50^(@)-sin70^(@)+sin10^(@)=0

Prove that cos20^(@)cos40^(@)-sin5^(@)sin25^(@)=(sqrt(3)+1)/4