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CBSE Class 11-science Answered

If y = 2/( sinA + √3 cosA ) , then find the minimum value of y using differential calculus

Asked by arunavamitra50 | 13 Jun, 2018, 07:32: PM
Expert Answer
begin mathsize 16px style straight y equals fraction numerator 1 over denominator begin display style 1 half end style sinA plus begin display style fraction numerator square root of 3 over denominator 2 end fraction end style cosA end fraction
straight y equals fraction numerator 1 over denominator sin left parenthesis straight A minus 60 right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space space space space cos 60 equals 1 half space and space sin 60 equals fraction numerator square root of 3 over denominator 2 end fraction
straight y equals cosec left parenthesis straight A minus 60 right parenthesis
taking space lower space and space upper space limit space of space cosec space you space can space solve space it space further.
end style
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