Question

If A + B + C = pi , find the minimum value of cot 2 A + cot 2 B +cot 2 C

Answer 1

I have  sent the answer

Answer 2

Answer:

Step-by-step explanation:

We knoe that for positive integers

AM greater than equal to GM

cot2A+cot2B/2greater than equal to square root of (cot2Acot2B)

cot2A+cot2B greater than equal to 2cotAcotB.............1

cot2B+cot2Cgreater than equal to 2cotBcotC............2

cot2A+cot2Cgreater than equal to 2cotAcotC.............3

adding eq. 1, 2 & 3

cot2A+cot2B+cot2c greater than equal to 2(cotAcotB+cotBcotC+cotCcotA)

if A+B+C=180

then cotAcotB+cotBcotC+cotCcotA=1

cot2A+cot2B+cot2cgreater than equal to 2