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CBSE Class 11-science Answered

Prove that sinA/2sin7A/2+sin3A/2sin11A/2=sin2Asin5A
Asked by Anil | 06 Jun, 2017, 05:52: PM
answered-by-expert Expert Answer
begin mathsize 16px style sin straight A over 2 sin fraction numerator 7 straight A over denominator 2 end fraction plus sin fraction numerator 3 straight A over denominator 2 end fraction sin fraction numerator 11 straight A over denominator 2 end fraction equals 1 half open parentheses 2 sin fraction numerator begin display style straight A end style over denominator begin display style 2 end style end fraction sin fraction numerator begin display style 7 straight A end style over denominator begin display style 2 end style end fraction plus 2 sin fraction numerator begin display style 3 straight A end style over denominator begin display style 2 end style end fraction sin fraction numerator begin display style 11 straight A end style over denominator begin display style 2 end style end fraction close parentheses Using space 2 sinAsinB equals cos open parentheses straight A minus straight B close parentheses minus cos open parentheses straight A plus straight B close parentheses equals 1 half open parentheses cos 3 straight A minus cos 4 straight A plus cos 4 straight A minus cos 7 straight A close parentheses equals fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction open parentheses cos 3 straight A minus cos 7 straight A close parentheses equals 1 half cross times 2 sin 5 straight A space sin 2 straight A equals sin 5 straight A space sin 2 straight A end style
Answered by Sneha shidid | 07 Jun, 2017, 08:51: AM

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CBSE 11-science - Maths
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CBSE 11-science - Maths
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