anonymous
  • anonymous
CAN SOMEONE HELP ME WITH A SIMPLE TRIG PROBLEM!
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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anonymous
  • anonymous
SIMPLE?
anonymous
  • anonymous
I am sorry m8 Can't help

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Saiyan
  • Saiyan
im only in Algebra 2
anonymous
  • anonymous
SOMEONE?
freckles
  • freckles
Not sure which one you need help with.
freckles
  • 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
  • anonymous
1st questions answer looks like option A
anonymous
  • anonymous
@freckles so the answer to prt a of the question is answer choice "A"
freckles
  • 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
  • freckles
what are the x-intercepts of y=5sin(x+pi) in that graph
anonymous
  • anonymous
so part a is "A"
anonymous
  • anonymous
I dont know what the x intercepts are
freckles
  • freckles
do you know hot solve sin(x+pi)=0?
anonymous
  • anonymous
yes
freckles
  • freckles
that will give you the x-intercepts if it isn't clear from the graph A
anonymous
  • anonymous
so that is answer choice C
freckles
  • 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
  • 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
  • freckles
the x-intercepts is where the graph touches the x-axis
anonymous
  • anonymous
Oh so the answer choice is B
freckles
  • freckles
yes
freckles
  • 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
  • freckles
the only number that doesn't have a reciprocal is 0 right?
freckles
  • freckles
so when sin is 0 you have a vertical asymptote for csc
freckles
  • freckles
|dw:1438062590122:dw|
freckles
  • freckles
but say sin is 1 then csc is ?
freckles
  • freckles
remember sin and csc are reciprocal functions
freckles
  • freckles
just flip the number
anonymous
  • anonymous
1
freckles
  • freckles
right and 5(1)=5 so both sin and csc will share the following common points |dw:1438062820709:dw|
freckles
  • 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
  • freckles
now just draw the little U things in between the broken lines so that it is getting closer and not touching
freckles
  • freckles
|dw:1438062900051:dw|
anonymous
  • anonymous
ok so those are the relative maximum and minimum points
freckles
  • 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
  • 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
  • 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
  • freckles
the graph I recently drawed you shows the relative min and max of y=5csc(x+pi)
freckles
  • 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
  • freckles
hint: |dw:1438063498596:dw|
freckles
  • freckles
the y coordinates should be clear
freckles
  • freckles
the x-coordinate occur midpoint of the zeros
anonymous
  • anonymous
ok, one sec
anonymous
  • anonymous
i think I know the x coordinate for the relative max and min, but i don't know the y coordinate
freckles
  • freckles
|dw:1438063591229:dw|
freckles
  • freckles
the y's are the easiest though :p
freckles
  • freckles
|dw:1438063703129:dw| so this graph didn't make any sense?
freckles
  • 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
  • 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
  • anonymous
i see, ok so let me tell you the relative mins and max's
anonymous
  • anonymous
(-5pi/2,5) and (-pi/2,5) are the minnimums
freckles
  • freckles
|dw:1438063960901:dw| nice those points are lowest on those little intervals there
anonymous
  • anonymous
(-3pi/2,-5) and (pi/2,-5) are the maximums
freckles
  • freckles
|dw:1438063992827:dw| right those points are highest on those little interval there