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Mathematics 20 Online
zarkam21:

True?

zarkam21:

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Vocaloid:

good

zarkam21:

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zarkam21:

false

Vocaloid:

well done

zarkam21:

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Vocaloid:

well done

zarkam21:

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zarkam21:

true

Vocaloid:

well done

zarkam21:

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zarkam21:

C

Vocaloid:

hint - what's the trig function that describes those red lines? sin has a periodic pattern so that's not quite it

zarkam21:

um tan?

Vocaloid:

good so the blue line is 1, the red is tan, so what's the equation of the intersection?

zarkam21:

B

Vocaloid:

awesome

zarkam21:

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zarkam21:

C

Vocaloid:

hm. I'm not 100% sure but I think that's it too

zarkam21:

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zarkam21:

D

Vocaloid:

not quite, look at the domain and range ,which trig function has range [-pi/2,pi/2] and domain (-1,1)

zarkam21:

um B

Vocaloid:

really close but not quite, arccos(x) has a range of (0,1) as a hint try looking up the graphs of each function [these are pretty hard to graph from memory tbh]

zarkam21:

Ugh A

Vocaloid:

it's arcsin, you just gotta know these unfortunately

zarkam21:

Im sorry

Vocaloid:

nah it's not a big deal, I barely remember these myself

zarkam21:

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Vocaloid:

|dw:1522297627777:dw|

Vocaloid:

any thoughts based on this?

zarkam21:

oh infinite

Vocaloid:

|dw:1522297730200:dw|

Vocaloid:

notice how there's only one point for x = 3, so only 1 sol'n

zarkam21:

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zarkam21:

aT/n

Vocaloid:

your software is interpreting t, a, and n as variables, try using arctan(x) as your notation

zarkam21:

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Vocaloid:

you have to plug in -1 for the x-value since we want arctan of -1

Vocaloid:

just try arctan(-1)

zarkam21:

-1

Vocaloid:

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zarkam21:

ugh idk why im getting something diff

Vocaloid:

alternatively you can use the unit circle to find where sin/cos = -1

zarkam21:

so -pi/4

zarkam21:

for the answr

Vocaloid:

good

zarkam21:

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zarkam21:

-5/12

Vocaloid:

good

zarkam21:

Ugh have to redo it :/ got a 50% i wonder what I did wrong

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