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CBSE Class 12-science Answered

If x = (2cos thita  - cos 2 thita)   and y = (2sin thita – sin 2 thita) find d2y/dx2 at thita = pie/2 Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:54: 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 plus 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 begin display style dy over dθ end style over denominator begin display style dx over dθ end style end fraction
equals fraction numerator 2 cosθ minus 2 cos 2 straight theta over denominator negative 2 sinθ plus 2 sin 2 straight theta end fraction
equals fraction numerator cosθ minus cos 2 straight theta over denominator sin 2 straight theta minus sinθ end fraction
equals fraction numerator 2 sin begin display style fraction numerator 3 straight theta over denominator 2 end fraction end style sin begin display style straight theta over 2 end style over denominator 2 cos fraction numerator 3 straight theta over denominator 2 end fraction sin straight theta over 2 end fraction
equals tan fraction numerator 3 straight theta over denominator 2 end fraction end style
Answered by Sneha shidid | 28 Aug, 2018, 09:54: AM
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