Maths-
General
Easy

Question

The minimum and maximum values of 8 cos space 3 x minus 15 sin 3x are

  1. -7,7
  2. -23,23
  3. -17,17
  4. -15,8

hintHint:

In this question, we have to find the range of f(x). As we know, if f(x)=a sin x+ b cos x then, range of f(x)element of open square brackets negative square root of a squared plus b squared end root comma square root of a squared plus b squared end root close square brackets, so, by using this we can find the range of f(x).

The correct answer is: -17,17


    As we know, if f(x)=a sin x+ b cos x
    Then, range of f(x) element of open square brackets negative square root of a squared plus b squared end root comma square root of a squared plus b squared end root close square brackets
    As f(x)= 8 cos 3x - 15 sin 3x
    plus-or-minus square root of a squared plus b squared end root equals plus-or-minus square root of 8 squared plus 15 squared end root equals plus-or-minus square root of 64 plus 225 end root equals plus-or-minus square root of 289 equals plus-or-minus 17
    So, range of f(x) element of open square brackets negative 17 comma space 17 close square brackets

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