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ICSE Class 10 Answered

this sum is of trignometry. cotA+cosecA-1/cotA-cosecA+1=i=cotA/sinA
Asked by gsamarth458 | 12 Oct, 2019, 08:33: AM
answered-by-expert Expert Answer
The question should be like below
(cotA + cosecA - 1)/(cotA - cosecA + 1) = (1 + cosA)/sinA
 

LHS = (cotA + cosecA - 1)/(cotA - cosecA + 1) 
           = begin mathsize 16px style fraction numerator cotA space plus space cosecA minus open parentheses cosec squared straight A minus cot squared straight A close parentheses over denominator cotA minus cosecA plus 1 end fraction end style
          begin mathsize 16px style fraction numerator cotA space plus space cosecA minus open parentheses cosecA plus cotA close parentheses open parentheses cosecA minus cotA close parentheses over denominator cotA minus cosecA plus 1 end fraction end style
      = begin mathsize 16px style fraction numerator open parentheses cotA space plus space cosecA close parentheses up diagonal strike open parentheses 1 minus cosecA plus cotA close parentheses end strike over denominator up diagonal strike cotA minus cosecA plus 1 end strike end fraction end style
      = cot A + cosec A
      = begin mathsize 16px style cosA over sinA plus 1 over sinA equals fraction numerator 1 plus cosA over denominator sinA end fraction end style
Answered by Sneha shidid | 14 Oct, 2019, 09:44: AM
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