Question

if A+B+C=180° , prove that cot(A+B/2)=tan c/2 ​

Answer 1

Answer:

LHS = RHS

proved.

Step-by-step explanation:

A+B+C = 180°

A+B = 180°- C

LHS= Cot( A+B / 2 )

= Cot ( 180°-C/2 )

= Cot (180°/2 - C/2)

= Cot (90° - C/2)

= tan C/2 { as cot(90°- theta)= tan. theta}

= RHS

hence,proved