Math, asked by veenadevi1811, 9 months ago

find the least value of 3 sinx - 4cosx +7 please answer in radio button​

Answers

Answered by Agastya0606
8

Given: The expression 3 sinx - 4cosx +7

To find: Maximum and minimum value of the given expression.

Solution:

  • Now the given expression is 3 sinx - 4cosx +7
  • When any expression of the form a sin x + b cos x or a sin x - b cos x is there, the maximum value is √a²+b² and minimum value is -√a²+b².
  • So, we have: 3 sinx - 4cosx +7
  • maximum value = √(3² + 4²) + 7

              = √25 + 7

              = 5 + 7

              = 12

  • minimum value = -√(3² + 4²) + 7

             = -√25 + 7

              = -5 + 7

              = 2

Answer:

           So the minimum value is 2 and maximum value is 12.

Answered by samdishadhaliwal
0

above is your answer ok..!!

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