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CBSE Class 12-science Answered

secx - cosecx = 4/3
sinx - cosx =?
 
Asked by Sugandha | 27 Apr, 2017, 02:48: PM
answered-by-expert Expert Answer
begin mathsize 16px style secx minus cosecx equals 4 over 3 1 over cosx minus 1 over sinx equals 4 over 3 sinx minus cosx equals 4 over 3 sinxcosx........... left parenthesis straight i right parenthesis Consider comma secx minus cosecx equals 4 over 3 squaring space on space both space sides comma sec squared straight x plus cosec squared straight x minus 2 secxcosecx equals 16 over 9 fraction numerator 1 over denominator cos squared straight x end fraction plus fraction numerator 1 over denominator sin squared straight x end fraction minus 2 over sinxcosx equals 16 over 9 fraction numerator sin squared straight x plus cos squared straight x over denominator left parenthesis sinxcosx right parenthesis squared end fraction minus 2 over sinxcosx equals 16 over 9 fraction numerator 1 over denominator left parenthesis sinxcosx right parenthesis squared end fraction minus 2 over sinxcosx equals 16 over 9 take space 1 over sinxcosx equals straight m space and space solve space for space quadratic space equation space you space will space get space straight m equals sinxcosx equals 3 over 8 space or space fraction numerator negative 3 over denominator 2 end fraction Put space it space in space left parenthesis straight i right parenthesis space you space will space get sinx minus cosx equals 1 half space or space minus 2 end style
Answered by Sneha shidid | 29 Apr, 2017, 09:44: AM

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CBSE 12-science - Maths
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