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CBSE Class 11-science Answered

If bcos (θ+120°) = c cos (θ+240°) , then prove that (b-c)= -3 (b+c) tan θ

Asked by tps.mjmdr | 16 Jun, 2018, 05:37: PM

Expert Answer

begin mathsize 16px style bcos space left parenthesis straight theta plus 120 degree right parenthesis space equals space straight c space cos space left parenthesis straight theta plus 240 degree right parenthesis straight b over straight c equals fraction numerator cos space left parenthesis straight theta plus 240 degree right parenthesis over denominator cos space left parenthesis straight theta plus 120 degree right parenthesis end fraction componendo space dividendo fraction numerator straight b plus straight c over denominator straight b minus straight c end fraction equals fraction numerator cos space left parenthesis straight theta plus 240 degree right parenthesis plus cos space left parenthesis straight theta plus 120 degree right parenthesis over denominator cos space left parenthesis straight theta plus 240 degree right parenthesis space minus space cos space left parenthesis straight theta plus 120 degree right parenthesis end fraction fraction numerator straight b plus straight c over denominator straight b minus straight c end fraction equals fraction numerator 2 cos space open parentheses straight theta plus 180 close parentheses cross times space cos space 60 over denominator negative 2 sin space open parentheses straight theta plus 180 close parentheses cross times space sin space 60 end fraction fraction numerator straight b plus straight c over denominator straight b minus straight c end fraction equals negative tan space open parentheses straight theta plus 180 close parentheses cross times space tan space 60 fraction numerator straight b plus straight c over denominator straight b minus straight c end fraction equals negative tan space straight theta cross times space tan space 60 end style

Answered by Arun | 19 Jun, 2018, 04:49: PM

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