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CBSE Class 10 Answered

fraction numerator 5 sin squared 30 degree plus cos squared 45 degree minus 4 tan squared 30 degree over denominator 2 sin 30 degree. cos squared 30 degree plus tan 45 degree end fraction
Asked by gautamdingankar | 04 Mar, 2018, 04:05: PM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator 5 sin squared 30 degree plus cos squared 45 degree minus 4 tan squared 30 degree over denominator 2 sin 30 degree cos squared 30 degree plus tan 45 degree end fraction
equals fraction numerator begin display style 5 open parentheses fraction numerator begin display style 1 end style over denominator 2 end fraction close parentheses squared plus open parentheses fraction numerator begin display style 1 end style over denominator square root of 2 end fraction close parentheses squared minus 4 open parentheses fraction numerator begin display style 1 end style over denominator square root of 3 end fraction close parentheses squared end style over denominator begin display style 2 cross times 1 half cross times open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses squared plus 1 end style end fraction
equals fraction numerator begin display style 5 over 4 plus 1 half minus 4 over 3 end style over denominator begin display style 3 over 4 plus 1 end style end fraction
equals fraction numerator begin display style fraction numerator 5 plus 2 over denominator 4 end fraction minus 4 over 3 end style over denominator begin display style 7 over 4 end style end fraction
equals open parentheses 7 over 4 minus fraction numerator begin display style 4 end style over denominator begin display style 3 end style end fraction close parentheses cross times 4 over 7
equals fraction numerator 21 minus 16 over denominator 12 end fraction cross times fraction numerator begin display style 4 end style over denominator begin display style 7 end style end fraction
equals fraction numerator 5 over denominator 3 cross times 7 end fraction
equals 5 over 21 end style
Answered by Sneha shidid | 05 Mar, 2018, 09:08: AM

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