Question

How to do it?

Answer 1

no idea how to find the period or phase shift?

Answer 2

ummm its okay..

Answer 3

waitt.. is it like

Answer 4

something like this?

Answer 5

that is a rough graph of some sine wave

Answer 6

yes it is correct :) but this one doesn't have a phase shift (at least not one we can see)

Answer 7

so you need to know that equations of the form\[y=A\sin(Bx+C)\]have \(amplitude~A,~period=\huge\frac{2\pi}{|B|}\) and \(phase~shift=C\)

Answer 8

what is \[\left| B \right|\] in this case?

Answer 9

what is the coefficient of x ?

Answer 10

ohh okay so in this eq the phase shift is pi/2, period is 6x

Answer 11

careful, look at my formula\[\text{period}=\frac{2\pi}{|B|}\]

Answer 12

oops sorry so its 2pi/I6xI

Answer 13

do you remember what |6| means?
(absolute value?)

Answer 14

yea its means tht the numerical value, without regard to its sign.

Answer 15

like if there is a - inside then it will turn to +

Answer 16

right
and the x stays outside the absolute value also...

Answer 17

...in this case
so what is the period (simplified)?

Answer 18

yea right, amplitude is 6

Answer 19

and period is...?

Answer 20

2pi/6

Answer 21

simplify...

Answer 22

1.0472

Answer 23

or pi/3

Answer 24

that second choice is much better ;)

Answer 25

kool..

Answer 26

so that answers the first part

Answer 27

yea finally.. :)

Answer 28

so from -pi/4 to pi/4 is really a short line in the graph..

Answer 29

yeah it is, but that doesn't really help us
so now you have to graph it
the graph will be the sine graph, but shifted \(c=\frac\pi2\) units to the left
\(a=6\) units high, and repeats itself once every \(T=\frac{\pi}3\) units

http://www.wolframalpha.com/input/?i=sin%28x%2B1%29

Answer 30

wowww this website is soo kool..

Answer 31

that was a general idea of these kind of graphs
her is your actual graph
http://www.wolframalpha.com/input/?i=sin%28x%2B1%29
as you can see, shifting it pi/2 units to the left turned it into a cos

this website is powerful
if you learn to use it, do not abuse it

Answer 32

do not rely on it for understanding all the time. You \(will\) fail your exams if you use it as a crutch
otherwise enjoy it wisely :)

Answer 33

there is no way we can abuse it.. they created this website to help students who are having difficulty.. Its a great tool to learn!!

Answer 34

you can get used to letting wolfram solve many problems for you without telling you why. it is important that you can do it after \(without\) wolfram that matters, so as long as you use it that way...

Answer 35

but yea true.. if others use it crazy then its a fail.. coz they just type and see whithout understanding the concept..

Answer 36

exactly

Answer 37

but if you use it to backtrack to an understanding that's responsible and fine :)