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CBSE Class 11-science Answered

sin(B-C)/2 =b-c/a* cosA/2
Asked by nk.pandit02 | 15 Aug, 2016, 02:24: PM
answered-by-expert Expert Answer
begin mathsize 14px style L e t space fraction numerator a over denominator sin space A end fraction equals fraction numerator b over denominator sin B end fraction equals fraction numerator c over denominator sin C end fraction equals k T h e n comma space a equals k sin A comma space b equals k sin B comma space c equals k sin C R. H. S. equals open parentheses fraction numerator b minus c over denominator a end fraction close parentheses cos A over 2 equals open parentheses fraction numerator k sin B minus k sin C over denominator k sin A end fraction close parentheses cos A over 2 equals open parentheses fraction numerator sin B minus sin C over denominator sin A end fraction close parentheses cos A over 2 equals fraction numerator 2 sin open parentheses begin display style fraction numerator B minus C over denominator 2 end fraction end style close parentheses cos open parentheses begin display style fraction numerator B plus C over denominator 2 end fraction end style close parentheses over denominator 2 sin begin display style A over 2 end style cos begin display style A over 2 end style end fraction cos A over 2 equals fraction numerator s i n open parentheses begin display style fraction numerator B minus C over denominator 2 end fraction end style close parentheses c o s open parentheses begin display style fraction numerator straight pi minus straight A over denominator 2 end fraction end style close parentheses over denominator s i n begin display style A over 2 end style end fraction equals fraction numerator s i n open parentheses begin display style fraction numerator B minus C over denominator 2 end fraction end style close parentheses c o s open parentheses begin display style straight pi over 2 minus A over 2 end style close parentheses over denominator s i n begin display style A over 2 end style end fraction equals fraction numerator s i n open parentheses begin display style fraction numerator B minus C over denominator 2 end fraction end style close parentheses sin open parentheses begin display style A over 2 end style close parentheses over denominator s i n begin display style A over 2 end style end fraction equals s i n open parentheses fraction numerator B minus C over denominator 2 end fraction close parentheses equals L. H. S. end style
Answered by Rashmi Khot | 16 Aug, 2016, 09:19: AM

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