Grafik Fungsi Trigonometri

Pengertian
[b]Trigonometri [/b]merupakan cabang ilmu matematika yang membahas ukuran dalam segitiga. [br][b]Fungsi Trigonometri[/b] merupakan suatu fungsi yang memiliki grafik berulang secara terus [br]menerus dalam suatu periode tertentu.[br]Salah satu aplikasi trigonometri dalam kehidupan sehari-hari yaitu penentuan sudut dalam [br]perancangan pembangunan suatu gedung. [br]Selain itu, pernahkan kalian melihat gelombang air laut? [br]Ternyata, pola gelombangny dapat kita modelkan dengan fungsi trigonometri. [br][br]
Ingat Kembali
Untuk mempermudah pemahaman terkait fungsi trigonometri, silakan diingat kembali [br]beberapa materi berikut ini.[br]1. Perbandingan Trigonometri pada Segitiga Siku-siku[br]2. Perbandingan Trigonometri pada Sudut Istimewa[br]3. Perbandingan Trigonometri pada Sudut Berelasi
Konversi Derajat dan Radian
Selain tiga materi di atas, kita juga perlu memahami ukuran sudut dalam radian.[br]Biasanya dalam kehidupan sehar-hari kita terbiasa menggunakan satuan derajat untuk perputaran, namun dalam matematika, kita juga sering menggunakn satuan radian.[br][br][math]180^\circ=\pi[/math] radian[br][br][math]1^\circ=\frac{\pi}{180}[/math] radian[br][br]1 radian [math]=\frac{180^\circ}{\pi}\approx57.3^\circ[/math][br][br][b]Contoh Konversi[br][br][/b]Mengubah derajat ke radian[br][math]90^\circ=90\cdot\frac{\pi}{180}rad=\frac{\pi}{2}rad[/math][br][br][math]30^\circ=30\cdot\frac{\pi}{180}rad=\frac{\pi}{6}rad[/math][br][br]Mengubah radian ke derajat[br][math]\frac{\pi}{6}rad=\frac{\pi}{6}\cdot\frac{180^\circ}{\pi}=30^\circ[/math][br][br][math]\frac{3\pi}{4}rad=\frac{3\pi}{4}\cdot\frac{180^\circ}{\pi}=135^\circ[/math][br]
Latihan Soal Konversi
Bentuk lain dari [math]60^\circ[/math] adalah ...
Bentuk lain dari [math]\frac{\pi}{5}rad[/math] adalah ...
AMPLITUDO DAN PERIODE
Konsep penting lainnya yang harus kalian pahami dalam mempelajari grafik fungsi trigonometri yaitu [b]amplitudo [/b]dan [b]periode[/b].
Amplitudo dan Periode Grafik Fungsi Sin dan Cos
[b]Amplitudo[/b] adalah jarak maksimum dari garis tengah ke puncak atau lembah grafik. Untuk fungsi y = A sin x atau y = A cos x, besar amplitudo [math]\left|A\right|[/math]. Dengan kata lain, Amplitudo menentukan "tinggi" gelombang.
[b]Periode[/b] adalah panjang interval yang diperlukan untuk satu siklus lengkap. Untuk fungsi y = sin (Bx) atau y = cos (Bx), periodenya adalah [math]\frac{2\pi}{\left|B\right|}[/math]. Dengan kata lain, periode adalah jarak horizontal untuk satu gelombang penuh.
Amplitudo dan Periode Grafik Fungsi Tan
Grafik fungsi y = A tan (Bx)[br][br]Amplitudo = tidak terdefinisi (tak terbatas)[br][br]Periode = [math]\frac{\pi}{\left|B\right|}[/math]
GRAFIK FUNGSI SINUS
Fungsi y = sin x adalah fungsi periodik dengan periode [math]2\pi[/math]. [br]Artinya, pola grafiknya berulang setiap interval [math]2\pi[/math].
[b]Karakteristik Grafik Fungsi y = A sin (Bx)[br][/b]1. Periode = [math]\frac{2\pi}{\left|B\right|}[/math][br]2. Amplitudo = [i]|A|[br][/i]3. Domain = semua bilangan riil atau [br]4. Range = [math]\left(\text{|A|},-\text{|A|}\right)[/math] atau (nilai maksimum, nilai minimum)
GRAFIK FUNGSI COSINUS
Fungsi y = cos x adalah fungsi periodik dengan periode [math]2\pi[/math]. [br]Artinya, pola grafiknya berulang setiap interval [math]2\pi[/math].
[b]Karakteristik Grafik Fungsi y = A cos (Bx)[br][/b]1. Periode = [math]\frac{2\pi}{\left|B\right|}[/math][br]2. Amplitudo = [i]|A|[br][/i]3. Domain = semua bilangan riil atau [br]4. Range = [math]\left(\text{|A|},-\text{|A|}\right)[/math] atau (nilai maksimum, nilai minimum)
GRAFIK FUNGSI TAN
Grafik fungsi y = tan x berbeda dengan grafik fungsi sin dan cos. Karena grafik fungsi tan memiliki asimtot vertikal.
[b]Karakteristik Grafik Fungsi y = A tan (Bx)[br][/b]1. Periode = [math]\frac{\pi}{\left|B\right|}[/math][br]2. Amplitudo = tidak terdefinisi[br]3. Domain = semua bilangan riil kecuali saat [math]x\ne\frac{\pi}{2}+n\pi[/math], [i]n [/i] = {0,1, ...}[br]4. Range = semua bilangan riil[br]5. Asimtot vertikal = [math]x=\frac{\pi}{2}+n\pi[/math]
LATIHAN SOAL
Periode dari grafik fungsi y = 3 sin (2x)[br]
Amplitudo dari grafik fungsi [math]y=-2cos\left(\frac{x}{3}\right)[/math] adalah ...
PERGESERAN GRAFIK FUNGSI TRIGONOMETRI
Pergeseran Grafik Fungsi Sinus dan Cosinus[br][br]Terdapat dua macam pergeseran yaitu pergeseran ke kanan atau kiri dan ke atas atau ke bawah.[br][br]Perhatikan applet geogebra berikut. [br]1. Jika kalian ubah nilai c/C saja pada kedua grafik, maka jenis pergeserannya seperti apa?[br]2. Jika kalian ubah nilai d/D saja pada kedua grafik, maka jenis pergeserannya seperti apa?
Latihan Soal
1). Jika grafik [math]f\left(x\right)=cos\left(x\right)[/math] digeser ke arah ..... sejauh [math]30^\circ[/math] satuan dan ke arah ....... sejauh 2 satuan, maka persamaan grafik akan berubah menjadi [math]f\left(x\right)=cos\left(x-30^\circ\right)-2[/math]. Lengkapi titik-titik tersebut!
2) Jika grafik [math]f\left(x\right)=sin\left(x\right)[/math] digeser ke arah ............. sejauh [math]45^\circ[/math] satun dan ke arash ................ sejauh 3 satuan, maka persamaan grafik tersebut akan berubah menjadi [math]f\left(x\right)=sin\left(x+45^\circ\right)+3[/math]
3) Diketahui grafik fungsi trigonometri [math]f\left(x\right)=6sin\left(x\right)[/math] dan [math]g\left(x\right)=sin\left(6x\right)[/math]. Pernyataan berikut yang benar adalah ...
4) Grafik f(x) = 3 cos x memotong sumbu X di koordinat titik ....
5) Persamaan fungsi dari grafik berikut adalah..[br][img]data:image/png;base64,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[/img]
6) Grafik fungsi berikut adalah grafik dari fungsi [math]y=acos\left(bx\right)[/math]. Nilai [i]a[/i] dan [i]b[/i] berturut-turut adalah 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[/img]
7) Persamaan dari grafik fungsi berikut adalah 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[/img]
8) Range dari fungsi [math]y=cos\left(x\right)+3[/math] dengan [math]0\le x\le2\pi[/math] adalah ...
9) Nilai minimum dari [math]f\left(x\right)=2sin\left(x-60^\circ\right)+1[/math] adalah ...
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Information: Grafik Fungsi Trigonometri