(b²-c²) cotA + (c²-a²) cotB + (a²+b²) cotC =0

Asked by Harshashok2002 | 30th Jul, 2017, 08:47: AM

Expert Answer:

begin mathsize 16px style Consider space only space first space term
open parentheses straight b squared minus straight c squared close parentheses cotA
equals open parentheses straight b squared minus straight c squared close parentheses fraction numerator cosA over denominator sin straight A end fraction
equals fraction numerator open parentheses straight b squared minus straight c squared close parentheses over denominator sinA end fraction cross times fraction numerator straight b squared plus straight c squared minus straight a squared over denominator 2 bc end fraction
equals fraction numerator open parentheses straight b squared minus straight c squared close parentheses over denominator ka end fraction cross times fraction numerator straight b squared plus straight c squared minus straight a squared over denominator 2 bc end fraction
Similarly space you space can space do space it space for space the space next space two space terms
and space on space simplifying space you space will space get space RHS space as space 0.
end style

Answered by Sneha shidid | 31st Jul, 2017, 09:23: AM