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CBSE Class 10 Answered

Sir/mam Please solve Question 21
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Asked by Vivek.d8765 | 27 Feb, 2018, 04:37: PM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator sec squared space left parenthesis 90 degree minus straight theta right parenthesis minus cot squared space straight theta over denominator 2 left parenthesis sin squared space 45 degree plus sin squared space 45 degree right parenthesis end fraction plus fraction numerator 2 sin squared space 30 degree tan squared space 38 degree space tan squared space 52 degree over denominator 3 space left parenthesis sec squared space 43 degree minus cot squared space 47 degree right parenthesis end fraction equals fraction numerator begin display style cosec squared space straight theta minus cot squared space straight theta end style over denominator begin display style 2 left parenthesis 2 sin squared space 45 degree right parenthesis end style end fraction plus fraction numerator begin display style 2 sin squared space 30 degree tan squared space left parenthesis 90 degree minus 52 degree right parenthesis space tan squared space 52 degree end style over denominator begin display style 3 space left parenthesis sec squared space left parenthesis 90 degree minus 47 degree right parenthesis minus cot squared space 47 degree right parenthesis end style end fraction equals fraction numerator 1 over denominator 4 cross times open parentheses begin display style fraction numerator 1 over denominator square root of 2 end fraction end style close parentheses squared end fraction plus fraction numerator begin display style 2 cross times open parentheses 1 half close parentheses squared space cot squared space 52 degree space tan squared space 52 degree end style over denominator begin display style 3 left parenthesis cosec squared space 47 degree minus cot squared space 47 degree right parenthesis end style end fraction equals fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction plus fraction numerator begin display style 1 half cross times 1 end style over denominator begin display style 3 space cross times 1 end style end fraction equals 1 half plus 1 over 6 equals 4 over 6 equals 2 over 3 end style
Answered by Rashmi Khot | 28 Feb, 2018, 11:40: AM

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