Jawaban:

Grafik Fungsi Trigonometri

Penjelasan dengan langkah-langkah:

Cara mendapatkan nilai maksimum dan minimum adalah dengan membuat tabel fungsi

6. y= 20 - 7 sin x - 24 cos x

tabel terlampir

subsitusikan nilai x dengan

y = 20-7 sin (0) - 24 cos (0)

= 20-7.0 - 24 .1

= 20-0-24

= 20-24

= -4 ( minimum )

y = 20-7 sin (π/2) - 24 cos (π/2)

= 20-7 sin (90) - 24 cos (90)

= 20-7 . 1 - 24 .0

= 20-7-0

= 20-7

= 13

y = 20-7 sin(π) - 24 cos (π)

= 20-7 sin (180) - 24 cos (180)

= 20-7 .0 - 24.-1

= 20-0+24

= 20+24

= 44 ( maksimum )

y = 20-7 sin (3/2π) - 24 cos (3/2π)

= 20-7 sin (270) - 24 cos (270)

= 20-7 .-1 - 24 . 0

= 20+7-0

= 27

y = 20-7 sin (2π) - 24 cos (2π)

= 20-7 sin (360) - 24 cos (360)

= 20-7.0 - 24 .1

= 20-0-24

= 20-24

= -4

7. y = - 4 - 8 sin² x

tabel terlampir

subsitusikan nilai x dengan

y = -4 - 8 sin² (0)

= -4 - 8 sin(0).sin(0)

= -4 - 8 .0.0

= -4 - 0

= -4 ( maksimum )

y = -4 - 8 sin² (π/2)

= -4 - 8 sin (90) . sin (90)

= -4 - 8 .1 . 1

= -4 - 8

= -12 ( minimum )

y = -4 - 8 sin² (π)

= -4 - 8 sin (180).sin (180)

= -4 - 8 .0.0

= -4 -0

= -4

y = -4 - 8 sin² (3/2π)

= -4 - 8 sin(270) .sin(270)

= -4 - 8 .-1.-1

= -4 - 8.1

= -4 - 8

= -12

y = -4 - 8 sin²(2π)

= -4 - 8 sin (360).sin (360)

= -4 - 8 .0 .0

= -4 - 0

= -4

Demikian

Semoga membantu dan bermanfaat!