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CBSE Class 12-science Answered

  find dy/dx when x =(sin 2 thita )1/2 and y = (cos 2 thita)1/2 explain in great detail
Asked by haroonrashidgkp | 13 Aug, 2018, 09:05: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals square root of sin 2 straight theta end root dx over dθ equals fraction numerator 1 over denominator 2 square root of sin 2 straight theta end root end fraction cross times 2 cos 2 straight theta dx over dθ equals fraction numerator cos 2 straight theta over denominator square root of sin 2 straight theta end root end fraction........... left parenthesis straight i right parenthesis straight y equals square root of cos 2 straight theta end root dy over dθ equals fraction numerator 1 over denominator 2 square root of cos 2 straight theta end root end fraction cross times negative 2 sin 2 straight theta dy over dθ equals fraction numerator sin 2 straight theta over denominator square root of cos 2 straight theta end root end fraction............... left parenthesis ii right parenthesis dy over dx equals fraction numerator dy over dθ over denominator dx over dθ end fraction dy over dx equals fraction numerator fraction numerator sin 2 straight theta over denominator square root of cos 2 straight theta end root end fraction over denominator fraction numerator cos 2 straight theta over denominator square root of sin 2 straight theta end root end fraction end fraction............... From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis dy over dx equals fraction numerator sin 2 straight theta over denominator square root of cos 2 straight theta end root end fraction cross times fraction numerator square root of sin 2 straight theta end root over denominator cos 2 straight theta end fraction dy over dx equals fraction numerator sin 2 straight theta over denominator cos 2 straight theta end fraction cross times fraction numerator square root of sin 2 straight theta end root over denominator square root of cos 2 straight theta end root end fraction dy over dx equals tan 2 straight theta square root of tan 2 straight theta end root end style
Answered by Sneha shidid | 14 Aug, 2018, 09:48: AM

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