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Mathematics 20 Online
kaylak:

pre cal help

kaylak:

@Shadow

kaylak:

@Vocaloid

kaylak:

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kaylak:

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kaylak:

kaylak:

1. tan x and cot x ?

Vocaloid:

Hm. I think so. (don't quite remember if tan is considered the parent of cot)

Vocaloid:

anyway, for 2) going from 4 to (1/2) means we divided by 8, so this would be a vertical compression does multiplying the function by -1 reflect across y or x?

kaylak:

y

Vocaloid:

good, so answer choice 2 is the only possibility

kaylak:

3 is the hard one with 3 answers

Vocaloid:

I think you posted #4 twice, I don't see a #3

kaylak:

4 is either a or c because b and d is like who made these answer choices lol

kaylak:

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Vocaloid:

the period of 4 is 6pi (since it takes 6 pi units to repeat a cycle) to figure out how we would write that into the equation, find the value of b where period = 2pi/b

kaylak:

is answer a because i graphed c and it didn't turn out like the graph

Vocaloid:

for #4? no if 6pi = 2pi/b what is b?

kaylak:

2pi/3 ? i know the period is 2 pi

Vocaloid:

the period is not 2pi, it is 6pi (from looking at the graph, it takes 6pi to repeat the cycle)

Vocaloid:

period = 6pi = 2pi/b b= ?

kaylak:

huh i calculated in mathway

kaylak:

1/3

Vocaloid:

good, so b = (1/3) making the equation sin(x/3) = answer C

Vocaloid:

that's all the questions I can see, you didn't post #3 yet

kaylak:

now number3

kaylak:

scroll up i did

kaylak:

here it is again

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Vocaloid:

well we know that the period of sec is normally 2pi, but here it's 6pi, so using our reasoning from before sec(x/3) has to be part of the equation it's shifted up by 2 so sec(x/3) + 2 should be one of them

kaylak:

is d another?

Vocaloid:

yeah, d works too (I was trying to figure out why but the graph does come out identical)

Vocaloid:

now the difficult part is to figure out which csc graph works, I would honestly just graph them b/c it's difficult to telll from the equation

kaylak:

f maybe or e ?

Vocaloid:

just from graphing (I don't remember how to do this by hand atm) it comes out to be y = -csc(x/3 + 3pi/2) +2 being the one that matches

kaylak:

ok

kaylak:

you sure its not positive

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