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CBSE Class 12-science Answered

if x = 2cos thita – cos 2 thita and y = 2 sin thita – sin 2 thita, show that dy/dx = tan (3thita/2)   explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:51: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals 2 cosθ minus cos 2 straight theta dx over dθ equals negative 2 sinθ minus 2 sin 2 straight theta................. left parenthesis straight i right parenthesis straight y equals 2 sinθ minus sin 2 straight theta dy over dθ equals 2 cosθ minus 2 cos 2 straight theta.......... left parenthesis ii right parenthesis dy over dx equals fraction numerator 2 cosθ minus 2 cos 2 straight theta over denominator negative 2 sinθ minus 2 sin 2 straight theta end fraction dy over dx equals fraction numerator cosθ minus cos 2 straight theta over denominator negative sinθ minus sin 2 straight theta end fraction dy over dx equals fraction numerator cos 2 straight theta minus cosθ over denominator sinθ plus sin 2 straight theta end fraction dy over dx equals fraction numerator 2 sin begin display style straight theta over 2 end style sin begin display style fraction numerator 3 straight theta over denominator 2 end fraction end style over denominator 2 cos fraction numerator 3 straight theta over denominator 2 end fraction sin straight theta over 2 end fraction dy over dx equals tan fraction numerator 3 straight theta over denominator 2 end fraction end style
Answered by Sneha shidid | 27 Aug, 2018, 10:14: AM

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