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CBSE Class 12-science Answered

find dy/dx when x = ethita(sin thita + cos thita) and y = ethita(sin thita – cos thita)   explain in great detail
Asked by haroonrashidgkp | 15 Aug, 2018, 08:32: PM
answered-by-expert Expert Answer
begin mathsize 18px style straight x equals straight e to the power of straight theta open parentheses sin space straight theta space plus space cos space straight theta close parentheses
dx over dθ equals straight e to the power of straight theta open parentheses cos space straight theta space minus space sin space straight theta close parentheses plus straight e to the power of straight theta open parentheses sin space straight theta space plus space cos space straight theta close parentheses equals 2 straight e to the power of straight theta cos space straight theta
straight y equals straight e to the power of straight theta open parentheses sin space straight theta space minus space cos space straight theta close parentheses
dy over dθ equals straight e to the power of straight theta open parentheses sin space straight theta space minus space cos space straight theta close parentheses plus straight e to the power of straight theta open parentheses negative cos space straight theta space minus space sin space straight theta close parentheses equals negative 2 straight e to the power of straight theta cos space straight theta
dy over dx equals negative 1 end style
Answered by Arun | 16 Aug, 2018, 12:02: PM
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