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Mathematics 16 Online
zarkam21:

Help

zarkam21:

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zarkam21:

A

Vocaloid:

you can subtract multiples of 2pi from 20pi/3 until you get an angle that is within the unit circle

zarkam21:

C

Vocaloid:

good, C not A since the angle after subtracting 6 pi is 2pi/3

zarkam21:

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Vocaloid:

on the unit circle, x^2 + y^2 = 1 so (-3/5)^2 + y^2 = 1 solve for y, you'll get two y values and you have to pick the one that would put it in the quadrant II

Vocaloid:

if it wasn't clear before, you just need to solve (-3/5)^2 + y^2 = 1 for y ^^

zarkam21:

4/5

Vocaloid:

awesome, since it's qII we choose the positive y-value 4/5

zarkam21:

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zarkam21:

True

Vocaloid:

keep in mind the range of sin is only from -1 to 1

zarkam21:

oh okay so false

zarkam21:

because it is out of the range of -1 amd 1

Vocaloid:

yes

zarkam21:

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zarkam21:

A

Vocaloid:

that's not quite right, sin would be negative since that's below the x-axis

zarkam21:

B

Vocaloid:

awesome

zarkam21:

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Vocaloid:

as a hint try drawing where cos(t) and cos(w) would be on the unit circle, given that they're both in quadrant I then you'll see which angle is bigger

zarkam21:

A

Vocaloid:

good

zarkam21:

1 attachment
Vocaloid:

first, what would cos(theta) be based on that info?

zarkam21:

um ?/5?

Vocaloid:

try sketching a right triangle in quadrant II with sin(theta) = 4/5

zarkam21:

4/3 for tan

Vocaloid:

nope, not 4/3, it can't be positive

Vocaloid:

|dw:1520383069318:dw|

Vocaloid:

this is really important to know/be able to do, this is how you would sketch a triangle in QII, now add the values for sin(theta) = 4/5 then calculate cos(theta)

zarkam21:

and i know adj=x=3 opp=y=4 hyp=r=5

zarkam21:

okay

Vocaloid:

check the sign of x again

Vocaloid:

we're on the left side of the y-axis so x must be negative then calculate cos(theta), then calculate cot(theta) given sin and cos

zarkam21:

cot=cos/sin cot=(-3/5)/(4/5)=-3/4

zarkam21:

I'm sorry im jumping ahead of myself but i know how to do this. just was trying to refresh my memory

Vocaloid:

awesome, -3/4 is it

zarkam21:

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zarkam21:

A and C

Vocaloid:

you're missing at least one of the options

zarkam21:

B c D

Vocaloid:

9^2 + 12^2 = 15^2 true or false?

zarkam21:

True

Vocaloid:

good, so what would your final answer be?

zarkam21:

All of em

Vocaloid:

good

zarkam21:

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zarkam21:

C

Vocaloid:

good

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