Question

find the minimum and maximum values of f(x)=7cosx-24sinx+5​

Answer 1

25,-25

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.