#trigonometry

55 messages · Page 1 of 1 (latest)

daring warren
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I got the y value to be 5
not sure where to go from there

untold zephyrBOT
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blazing axle
daring warren
blazing axle
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Half a period

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Because after one period youd be back at the same point, the very top

daring warren
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right

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how do you determine what a period even is though

blazing axle
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Usually its easiest to just visually determine it

daring warren
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because i feel not enough info is given

blazing axle
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Well they say the x axis is radians so I think that just means its a normal sine wave

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No horizontal stretching

daring warren
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hm

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I'm not sure how wide a sinewave usually is

blazing axle
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Well a sine wave is just the y value of a circle right

daring warren
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right

blazing axle
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And how often in radians does a circle repeat itself

daring warren
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twice in 1 loop

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oh wait

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2 pi

blazing axle
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Ye 2pi

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And if you think about it sine waves also have a period of 2pi

daring warren
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hm

blazing axle
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Imagining how itd move up and down

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You can also just put it into desmos and look

daring warren
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but it says that it's horizontally shifted

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how would you know by how much

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to determine the actual period

blazing axle
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A horizontal shift doesnt change the period

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It will just move the whole thing over a bit

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A horizontal stretch certainly would change the period but a shift wont

daring warren
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okay, so assuming it's 2pi then how would you find

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x?

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when it's at the lowest

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is there an algebraic way or are you suggesting to just see it on desmos

blazing axle
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Well if the peak is at pi/13 and the the lower peak is pi away from that then you can just find it like that

daring warren
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2pi/13?

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or pi/6.5

blazing axle
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Youd just add them together right

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Like if you said at time=5 youre at the top of a hill and 10 seconds later youre at the bottom of the hill

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The time youre at the bottom of the hill is just 5+10=15

daring warren
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makes sense

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but you have pi/13

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what would you add it with

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pi?

blazing axle
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Ye

daring warren
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14pi/13

blazing axle
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Because youre at the top at pi/13 then pi radians later youre at hte bottom

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Yeah

daring warren
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oh shoot that's correct

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thanks for your help

blazing axle
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No problem Im glad to help

daring warren
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+close