CAN SOMEONE HELP ME WITH A SIMPLE TRIG PROBLEM!

- anonymous

CAN SOMEONE HELP ME WITH A SIMPLE TRIG PROBLEM!

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- anonymous

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- anonymous

SIMPLE?

- anonymous

I am sorry m8 Can't help

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## More answers

- Saiyan

im only in Algebra 2

- anonymous

SOMEONE?

- freckles

Not sure which one you need help with.

- freckles

part a)
just look for graph that matches y=5 sin(x+pi)
let's try to draw a graph here.
the amp=5
the period=2pi
the phase shift is -pi
can you graph y=5sin(x+pi)?

- anonymous

1st questions answer looks like option A

- anonymous

@freckles so the answer to prt a of the question is answer choice "A"

- freckles

yes that looks good you can also plug in numbers like 0 and -pi/2 and -pi and so on
to help you pick out the right one

- freckles

what are the x-intercepts of y=5sin(x+pi) in that graph

- anonymous

so part a is "A"

- anonymous

I dont know what the x intercepts are

- freckles

do you know hot solve sin(x+pi)=0?

- anonymous

yes

- freckles

that will give you the x-intercepts if it isn't clear from the graph A

- anonymous

so that is answer choice C

- freckles

|dw:1438062133167:dw|
hmmm...
you should know that sin(2pi+pi)=0
and sin(pi+pi)=0
and sin(0+pi)=0
and sin(-pi+pi)=0
and sin(-2pi+pi)=0
and sin(-3pi+pi)=0

- freckles

|dw:1438062355237:dw|
this is what the graph should look like if it is not clear where the max values are 5 and the min values are -5

- freckles

the x-intercepts is where the graph touches the x-axis

- anonymous

Oh so the answer choice is B

- freckles

yes

- freckles

let's look at graphing y=5csc(x+pi)
not recall csc and sin are reciprocals of each other
so sin(x+pi) will be reciprocal value of csc(x+pi) for x
if sin is 0 then csc is what?

- freckles

the only number that doesn't have a reciprocal is 0 right?

- freckles

so when sin is 0 you have a vertical asymptote for csc

- freckles

|dw:1438062590122:dw|

- freckles

but say sin is 1 then csc is ?

- freckles

remember sin and csc are reciprocal functions

- freckles

just flip the number

- anonymous

1

- freckles

right and 5(1)=5
so both sin and csc will share the following common points
|dw:1438062820709:dw|

- freckles

we also know if sin is -1 then csc is -1
so we know that the graph will also share
|dw:1438062857511:dw|

- freckles

now just draw the little U things in between the broken lines so that it is getting closer and not touching

- freckles

|dw:1438062900051:dw|

- anonymous

ok so those are the relative maximum and minimum points

- freckles

the maxes of the sin function are the relative mins of the csc function
the mins of the sin function are the relative maxs of the csc function

- anonymous

so what are the coordinates of the relative maximum and minimums of the csc function, im sorry im not tryng to get all the answers out of you because there is another problem just like this and I would like to finish this one fast to see if I can do the next one!

- freckles

so a relative min/max occurs when the graph is turning
but the difference is on that turn if the turn point is above all other points on the subinterval then it is a relative max
but if the turn point is below all other points on the subinterval then it is a relative min
for example
|dw:1438063333098:dw|

- freckles

the graph I recently drawed you shows the relative min and max of y=5csc(x+pi)

- freckles

it is the curve that is black
the green one was the sin function (well the asymptotes are also in green but oh well)

- freckles

hint:
|dw:1438063498596:dw|

- freckles

the y coordinates should be clear

- freckles

the x-coordinate occur midpoint of the zeros

- anonymous

ok, one sec

- anonymous

i think I know the x coordinate for the relative max and min, but i don't know the y coordinate

- freckles

|dw:1438063591229:dw|

- freckles

the y's are the easiest though :p

- freckles

|dw:1438063703129:dw|
so this graph didn't make any sense?

- freckles

like you see the y=5 line
that is where the relative mins of y=5csc(x+pi) occur
and the y=-5 line
that is where the relative maxs of y=5csc(x+pi) occur

- freckles

any point laying on the y=5 line has y-coordinate 5
any point laying on the y=-5 line has y-coordinate -5

- anonymous

i see, ok so let me tell you the relative mins and max's

- anonymous

(-5pi/2,5) and (-pi/2,5) are the minnimums

- freckles

|dw:1438063960901:dw|
nice those points are lowest on those little intervals there

- anonymous

(-3pi/2,-5) and (pi/2,-5) are the maximums

- freckles

|dw:1438063992827:dw|
right those points are highest on those little interval there