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CBSE Class 12-science Answered

 If y = {(1-sin2x)/(1 + sin 2x)}1/2 Show that dy/dx + sec2(pie/4 – x)= 0   mention each and every formula and minute details
Asked by haroonrashidgkp | 03 Jun, 2018, 11:19: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals square root of fraction numerator 1 minus sin 2 straight x over denominator 1 plus sin 2 straight x end fraction end root
straight y equals square root of open parentheses cos straight x minus sinx close parentheses squared over open parentheses cosx plus sinx close parentheses squared end root
straight y equals fraction numerator cosx minus sinx over denominator cosx plus sinx end fraction
straight y equals fraction numerator begin display style fraction numerator cosx over denominator cos straight x end fraction end style minus begin display style sinx over cosx end style over denominator begin display style fraction numerator cosx over denominator cos straight x end fraction end style plus begin display style sinx over cosx end style end fraction
straight y equals fraction numerator 1 minus tanx over denominator 1 plus tanx end fraction
straight y equals tan open parentheses straight pi over 4 minus straight x close parentheses
dy over dx equals sec squared open parentheses straight pi over 4 minus straight x close parentheses cross times open parentheses negative 1 close parentheses
dy over dx equals negative sec squared open parentheses straight pi over 4 minus straight x close parentheses
end style
Answered by Sneha shidid | 04 Jun, 2018, 11:09: AM

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