Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

calculus, pre calculus, Study notes of Mathematics

calculus, pre calculus, mathematics, fungsi, pergeseran

Typology: Study notes

2020/2021

Uploaded on 10/06/2022

yunalul-muna
yunalul-muna 🇮🇩

2 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Pergeseran (translasi) grafik
Example :
FUNGSI TRIGONOMETRI
Definisi :
Misalkan t bilangan real yang menetukan titik P(x,y) maka
sin 𝑡 = 𝑥 cos 𝑡 = 𝑦
pf3
pf4

Partial preview of the text

Download calculus, pre calculus and more Study notes Mathematics in PDF only on Docsity!

Pergeseran (translasi) grafik

Example :

FUNGSI TRIGONOMETRI

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 )

NOTE :

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 :