Question

if A+B+C=180 then-
tan^2A/2+tan^2B/2+tan^2C/2=1
or else​

Answer 1

Answer:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answer 2

A+B+C = pi

so A/2 + B/2 + C/2 = pi/2

or A/2 + B/2 = (pi/2- C/2)

take tan of both sides

tan (A/2 + B/2) = tan (pi/2-C/2) = cot C/2 = 1/ tan C/2

or (tan A/2 + tan B/2)/(1- Tan A/2 tan B/2) = 1/tan C/2

or tan C/2 tan A/2 + tan C/2 tan B/2 = 1 - tan A/2 tan B/2

or tan A/2 tan B/2 + tan B/2 tan C/2 + tan A/2 tan C/2 = 1

proved