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CBSE Class 12-science Answered

find dy/dx when x = a(cos thita + thita sin thita) y = a(sin thita – thita cos thita) explain in great detail
Asked by haroonrashidgkp | 15 Aug, 2018, 08:34: PM
answered-by-expert Expert Answer
begin mathsize 18px style straight x equals a ( cos space straight theta plus straight theta space sin space straight theta right parenthesis
dx over dθ equals straight a open parentheses negative sin space straight theta space plus space sin space straight theta plus straight theta space cos space straight theta space close parentheses equals straight a straight theta space cos space straight theta
straight y equals straight a left parenthesis sin space straight theta minus straight theta space cos space straight theta right parenthesis
dy over dθ equals straight a left parenthesis cos space straight theta minus space cos space straight theta plus straight theta space sin space straight theta right parenthesis equals aθ space sin space straight theta
dy over dx equals fraction numerator dy over dθ over denominator dx over dθ end fraction equals fraction numerator aθ space sin space straight theta over denominator aθ space cos space straight theta end fraction equals tan space straight theta end style
Answered by Arun | 16 Aug, 2018, 10:12: AM
CBSE 12-science - Maths
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