How to solve trigonometry example tan(A/2)tan(B/2)+tan(B/2)tan(C/2)+tan(C/2)tan(A/2)=1

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[IIT 1979] If A+B+C = 2*PI then show tan(A/2) + tan(B/2) + tan(C/2) = tan(A/2)*tan(B/2)*tan(C/2). [IIT 1979] If A+B+C = 2*PI then show tan(A/2) + tan(B/2) + tan(C/2) = tan(A/2)*tan(B/2)*tan(C/2).
11th Std Maths Ex 3.7(v) IF A+B+C = 180° TAN A/2TANB/2 + TAN B/2 TANC/2 + tanC/2 tan A/2 =1 11th Std Maths Ex 3.7(v) IF A+B+C = 180° TAN A/2TANB/2 + TAN B/2 TANC/2 + tanC/2 tan A/2 =1
if ABC is a triangle and `tan(A/2), tan(B/2), tan(C/2)` are in H.P. Then find the minimum value... if ABC is a triangle and `tan(A/2), tan(B/2), tan(C/2)` are in H.P. Then find the minimum value...
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