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ICSE Class 10 Answered

1 Simplify: (tan x +sec x-1)/ (tan x -secx +1) 2 PROVE THAT: cos6x=32cos^6 x-48cos^4 x +18cos^2 x -1 3 (pi=180 degrees) if tan x=3/4 ,pi
Asked by keshavendu35 | 16 Aug, 2018, 11:58: AM
answered-by-expert Expert Answer
begin mathsize 18px style fraction numerator tan space straight x space plus space sec space straight x space minus 1 over denominator tan space straight x space minus space sec space straight x space plus 1 end fraction
equals fraction numerator begin display style fraction numerator begin display style sin space straight x end style over denominator cos begin display style space end style begin display style straight x end style end fraction plus space fraction numerator begin display style 1 end style over denominator cos begin display style space end style begin display style straight x end style end fraction space minus 1 end style over denominator begin display style fraction numerator begin display style sin space straight x end style over denominator cos begin display style space end style begin display style straight x end style end fraction minus space fraction numerator begin display style 1 end style over denominator cos begin display style space end style begin display style straight x end style end fraction plus 1 end style end fraction
equals fraction numerator begin display style fraction numerator sin begin display style space end style begin display style straight x end style begin display style plus end style begin display style 1 end style begin display style minus end style begin display style cos end style begin display style space end style begin display style straight x end style over denominator cos begin display style space end style begin display style straight x end style end fraction end style over denominator begin display style fraction numerator sin begin display style space end style begin display style straight x end style begin display style space end style begin display style minus end style begin display style 1 end style begin display style plus end style begin display style space end style begin display style cos end style begin display style space end style begin display style straight x end style over denominator cos begin display style space end style begin display style straight x end style end fraction end style end fraction
equals fraction numerator sin space straight x plus 1 minus cos space straight x over denominator sin space straight x space minus 1 plus space cos space straight x end fraction
equals fraction numerator begin display style sin space straight x plus open parentheses 1 minus cos space straight x close parentheses end style over denominator begin display style sin space straight x space minus open parentheses 1 minus space cos space straight x close parentheses end style end fraction
end style
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