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if a+b+c=pie and tan1/4(b+c-a)tan1/4(c+a-b)tan1/4(a+b-c)=1,prove that 1+cos a +cos b +cos c=0
Let A=b+c-a,B=c+a-b,C=a+b-c,then
A+b+c=pie
Divide by 4 both sides
Multiply by (tan) on both sides and solve the equation.
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