Question

Find max, min values of the function f(x) = 7 cos x – 24 sin x + 5

Answer 1

Answer:

We know that the maximum and minimum values of acosx+bsinx are

a

2

+b

2

and −

a

2

+b

2

respectively.

Hence, the maximum and minimum values of 7cosx+24sinx are

7

2

+24

2

=25 and −

7

2

+24

2

=−25 respectively.