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Mathematics 21 Online
OpenStudy (anonymous):

Help please! Will medal and fan... Algebra 2 question.

OpenStudy (anonymous):

OpenStudy (anonymous):

@ganeshie8 Could you possibly help?

OpenStudy (anonymous):

I Have my answer but I need someone to check it for me.

OpenStudy (science0229):

Amplitude is the distance between the x-axis and the maximum value.

OpenStudy (science0229):

Period is the distance between 2 repeated points.

OpenStudy (anonymous):

Is that right?

OpenStudy (science0229):

I agree with number 1.

OpenStudy (anonymous):

You mean the A part?

OpenStudy (science0229):

yeah.

OpenStudy (science0229):

I also agree with the values of theta at which maximums occur

OpenStudy (science0229):

I don't agree with minimum nor zeros

OpenStudy (anonymous):

Okay how can I fix them

OpenStudy (science0229):

Every increment is pi/4, right?

OpenStudy (anonymous):

Right

OpenStudy (science0229):

So the minimum occurs at the first, third, fifth, and seventh increment, which is the same as pi/4, 3pi/4, 5pi/4, 7pi/4

OpenStudy (anonymous):

Oh okay! I see! So that's the minimum?

OpenStudy (science0229):

yeah

OpenStudy (anonymous):

How can I get the zeros if my method was not correct? :/

OpenStudy (science0229):

notice that zeros pass the midpoint of each increment

OpenStudy (science0229):

assuming it's drawn to scale

OpenStudy (anonymous):

Okay, what do I do with that information in order to apply it to the zeros?

OpenStudy (science0229):

The first x-intercept pass the midpoint of the first increment. So, it would be (pi/4)/2=pi/8

OpenStudy (anonymous):

Okay, how can I find the rest of the numerical values in relation to the zeros, after pi/8? What calculation do I use?

OpenStudy (science0229):

also notice that every x-intercept is apart by pi/4

OpenStudy (anonymous):

So the next would be pi/12? :/

OpenStudy (science0229):

pi/8+pi/4=pi/8+2pi/8=3pi/8

OpenStudy (science0229):

What's the next one?

OpenStudy (anonymous):

I don't know :(

OpenStudy (science0229):

The roots increase by pi/4 each time. pi/8 pi/8+pi/4=3pi/8 pi/8+pi/4*2=5pi/8 pi/8+pi/4*3=7pi/8 ... pi/8+pi/4*7=15pi/8

OpenStudy (anonymous):

So the next would be 9pi/8?

OpenStudy (science0229):

ok

OpenStudy (anonymous):

So how would I format that into one of the zeros?

OpenStudy (science0229):

all of the zeros would be (2k+1)pi/8 where k=0,1,2,3,4,5,6,7

OpenStudy (science0229):

i have to go sorry

OpenStudy (anonymous):

ok thank you so much!

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