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calculus, pre calculus, mathematics, fungsi, pergeseran
Typology: Study notes
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Pergeseran (translasi) grafik
Example :
Definisi :
Misalkan t bilangan real yang menetukan titik P(x,y) maka
sin 𝑡 = 𝑥 cos 𝑡 = 𝑦
Example :
𝑡 = 𝜋 𝑚𝑎𝑘𝑎 𝑃(sin 𝜋 , cos 𝜋) = 𝑃( 0 , − 1 )
sin(−𝑡) = − sin 𝑡
cos
= cos 𝑡
tan
= − tan 𝑡
Periode dan Amplitudo Fungsi Trigonometri
Fungsi sin(𝑎𝑡) mempunyai periode 2 𝜋/𝑎 karena
Periode fungsi cos(𝑎𝑡) juga 2 𝜋/𝑎
Example :
(a) sin( 2 𝜋𝑡)
(b) cos( 2 𝑡)
(c) sin(
2 𝜋𝑡
12
Amplitudo (A) : ketinggian gelombang
𝑦 = 𝐴 sin 𝑥
Example :
Maka
Sudut derajat ke radian
Ex :