Question

one cycle of sine function begins at x= - pi/6 and ends at pi/3, determine the period?

Answer 1

pi/3- (-pi/6) is your period

Answer 2

Your last point minus first point = period of the curve

Answer 3

oh okay the back of my textbook says pi/2

Answer 4

That is correct..common dem will give you 2pi/6 - (-pi/6) = 2pi/6 +p/6

Answer 5

that is equal to 3pi/6= pi/2

Answer 6

didnt you say you have to add the last point by the first point.. with would be pi/3+(-pi/6) ?

Answer 7

You add when you have to find the midpoint. So you would add one point with another and divide it by 2 to get the middle point of the two.

Answer 8

But when you have to find the period, it is last point minus first

Answer 9

oh okay, and to get the period you would subtract the last point by the first point right

Answer 10

Yes!

Answer 11

ohh okay, and to get the phase shift, what do u do

Answer 12

And you can also use 2pi/b = period

Answer 13

You mean how to get the x-value given the phase shift?

Answer 14

the question ask, determine the phase shift of the function

Answer 15

Are you given the sketch of the function?

Answer 16

what i did, was subtract the lat point by the first point, and i got the right answer, would that be right

Answer 17

for the phase shift?

Answer 18

i mean i added the last point by the first point

Answer 19

ya for the phase shift

Answer 20

hmm

Answer 21

for the phase shift, what i did was, add the last point by the first point.. and i got the right answer, so im wondering if i did that right, and no i wasnt given a graph

Answer 22

oh ok

Answer 23

im still trying to figure out the period and what i got was 3pi/6.

Answer 24

draw the regular sine curve and see how the x values differ from the original points. Remember how we did that today?

Answer 25

3pi/6 is right. reduce it to pi/2

Answer 26

ohh okayy

Answer 27

okay i have one more question

Answer 28

what did u say the k in the equation y=sin[k(x-d)] meant

Answer 29

So for example, if the first transformed point is (1/4,0) then it means there is a phase shift of 1/4 to the right. Understand?

Answer 30

The "k" is the "b" which we were referring to when trying to figure out the period. For example, 2pi/k = period of the sine/ cos curve

Answer 31

so in the equation would we put the period where k is

Answer 32

No, so since you know the period which is pi/2, you can use the above formula and figure out what k is.

2pi/k = period
so k= 2pi/period that is what you put in for the k value

Answer 33

ohhh okay thank you

Answer 34

and when it says graph the function over 2 periods,, what do we continue the graph until. 4pi?

Answer 35

If the period is pi then you continue it until 2pi it order to cover 2 cycles. If the period is 2/pi then 2 cycles would be 4/pi not 4pi.

Answer 36

ohh okay thank you

Answer 37

np

Answer 38

ill see you on wed. bye

Answer 39

alright. see ya. Good luck! And bring your test with you if you get it back so we can look it over.

Answer 40

okayy