Question

How to find the sin and cosine of a shifted sinusoidal function.

Answer 1

looks like this is the sin graph shifted by pi/12 and the period is only pi/2 now

Answer 2

Let's figure out how to change the period

Answer 3

sin(x) has what period initially

Answer 4

Hi, are you there?

Answer 5

i'm a little confused how you got pi/2

Answer 6

ah it's not pi/2

Answer 7

it's 2pi/3

Answer 8

http://i.imgur.com/KZfiTq6.png

Answer 9

what is 2pi/3? Sorry i'm lost

Answer 10

take a look at that picture

Answer 11

the length of this full cycle is called the period

Answer 12

where would the period start from?

Answer 13

you can start the period anywhere, as long as 1 full cycle takes place, however the period will always be 2pi/3

Answer 14

let me show you some examples

Answer 15

Ok thank you..

Answer 16

http://i.imgur.com/KnoNRXN.png

Answer 17

here i have picked 3 sets of pairs of points

Answer 18

Oh i see! Thank you :)

Answer 19

okay so lets start with the base graph
y=sin(x), what period does this have initially

Answer 20

2pi?

Answer 21

right

Answer 22

y=sin(x) looks like this