Nilai maksimum dan minimum dari fungsi y = 4 cos x + 3 sini x + 10

y = 4 cos x + 3 sin x + 10

a=4
b=3
konstanta =10

nilai y max = akar (a^2 + b^2) + konstanfa
= akar (4^2 + 3^2) + 10
= akar (16+9) + 10
= akar 25 + 10
= 15

nilai y min = - akar (a^2 + b^2) + konstanta
= -akar 25 + 10
= -5 + 10
= 5

Bab Trigonometri
Matematika SMA Kelas XI

maksimum jika cos x = 1 dan sin x = 1

maksimum = 4 . 1 + 3 . 1 + 10
maksimum = 4 + 3 + 10
maksimum = 17

minimum jika cos x = -1 dan sin x = -1

minimum = 4 . (-1) + 3 . (-1) + 10
minimum = -4 - 3 + 10
minimum = 3