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CBSE Class 10 Answered

please sir help me to solve this query   
fraction numerator sin squared theta plus sin squared 90 minus theta over denominator 3 open parentheses s e c squared 61 minus c o t squared 29 close parentheses end fraction minus fraction numerator 3 c o t squared 30 space sin squared 54 space s e c squared 36 over denominator 2 open parentheses cos e c squared 65 minus tan squared 25 close parentheses end fraction
Asked by krishdabhoya2003 | 10 Jun, 2018, 12:43: PM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator sin squared straight theta space plus space sin squared 90 space minus space straight theta over denominator 3 open parentheses sec squared 61 space minus space cot squared 29 close parentheses end fraction minus fraction numerator 3 cot squared 30 sin squared 54 sec squared 36 over denominator 2 open parentheses cosec squared 65 space minus space tan squared 25 close parentheses end fraction
fraction numerator begin display style sin squared straight theta space plus space 1 minus space straight theta end style over denominator begin display style 3 open parentheses cosec squared 29 space minus space cot squared 29 close parentheses end style end fraction minus fraction numerator begin display style 3 cross times open parentheses square root of 3 close parentheses squared cos squared 36 sec squared 36 end style over denominator begin display style 2 open parentheses cosec squared 65 space minus space cot squared 65 close parentheses end style end fraction space space space space space left parenthesis because space sin 90 space equals space 1 comma space secθ space equals space cosec open parentheses 90 space minus space straight theta close parentheses comma space sinθ equals cos open parentheses 90 space minus space straight theta close parentheses comma space tanθ equals cot open parentheses 90 space minus space straight theta close parentheses right parenthesis
fraction numerator begin display style sin squared straight theta space plus space 1 minus space straight theta end style over denominator begin display style 3 open parentheses 1 close parentheses end style end fraction minus fraction numerator begin display style 3 cross times 3 cross times 1 end style over denominator begin display style 2 cross times 1 end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space because space cosec squared straight theta space minus space cot squared straight theta space equals space 1
fraction numerator begin display style sin squared straight theta space plus space 1 minus space straight theta end style over denominator begin display style 3 end style end fraction minus fraction numerator begin display style 9 end style over denominator begin display style 2 end style end fraction




NOTE colon space
Please space check space your space question. end style
Answered by Sneha shidid | 11 Jun, 2018, 09:48: AM
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