Ex 6.5, 9 - What is the maximum value of sin x + cos x? - Ex 6.5

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
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Ex 6.5,9 What is the maximum value of the function sin +cos ? Let f = sin + cos Consider the interval 0 , 2 Step 1: Finding f f = sin + cos f = cos sin Step 2: Putting f =0 cos sin =0 cos = sin 1 = sin cos 1= tan tan =1 Since 0 , 2 tan =1 at = 4 , = 5 4 in the interval 0 , 2 Step 3: We have given the interval 0 , 2 Hence Calculating f at =0 , 4 , 5 4 & 2 Hence Maximum Value of f is at =

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.