Question

the minimum value of 3 cos x + 4 sin x + 8 is ​

Answer 1

Answer:

11

Step-by-step explanation:

if we take x=0° :-

cos 0°=1 ; sin0°=0.

3 cos 0°+ 4 sin 0°+8

= 3×1+4×0+8

=3+0+8

=11.

if we take x = 90°:-

cos 90°= 0 ; sin 90°= 1.

3 cos 90° + 4 sin 90° +8

=3×0+4×1+8

=0+4+8

=12.

Thus, 11 is the answer.