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CBSE Class 11-science Answered

For what value of θ is the expression sin θ +sin (θ-60°) is maximum
Asked by tps.mjmdr | 16 Jun, 2018, 05:37: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals sin space straight theta space plus sin space left parenthesis straight theta minus 60 right parenthesis
dy over dθ equals cos space straight theta space plus cos space left parenthesis straight theta minus 60 right parenthesis
cos space straight theta space plus cos space left parenthesis straight theta minus 60 right parenthesis equals 0
2 cos open parentheses fraction numerator straight theta plus straight theta minus 60 over denominator 2 end fraction close parentheses cos open parentheses fraction numerator straight theta minus straight theta plus 60 over denominator 2 end fraction close parentheses equals 0
cos open parentheses fraction numerator 2 straight theta minus 60 over denominator 2 end fraction close parentheses equals 0
cos open parentheses straight theta minus 60 close parentheses equals cos space 90
straight theta minus straight pi over 3 space equals space 2 nπ space plus-or-minus space straight pi end style
Answered by Arun | 19 Jun, 2018, 04:04: PM

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