Sunil Raikwar
Last Activity: 11 Years ago
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
Thanks & Regards
Sunil Raikwar
askIITians Faculty