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prove that tan(pi/4+1/2cos^-1(a/b))+tan(...

prove that `tan(pi/4+1/2cos^-1(a/b))+tan(pi/4-1/2cos^-1(a/b))`=`b/a` `cos^-1((cosx+cosy)/(1+cosxcosy))=2tan^-1(tanx/2tany/2)`

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