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- anonymous

##### 1 Attachment

- zepdrix

Make sure you remember how to read these brackets.
Square bracket means we include the point,
round bracket is exclusion.\[\large\rm t\in[0,2\pi)\qquad\to\qquad 0\le t\lt 2\pi\]

- zepdrix

t=2pi isn't in our interval, ya?

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- anonymous

it is totally in our interval :D

- zepdrix

Nooo :O

- zepdrix

Round bracket on the 2pi

- anonymous

Darn! I keep forgetting. It would be like this (2pi)

- zepdrix

\[\huge\rm t\in[0,2\pi\color{red}{)}\qquad\to\qquad 0\le t\color{red}{\lt} 2\pi\]No 2pi allowed :OOO

- anonymous

so whenever they are asking the distance what exactly do they want?

- zepdrix

Well... you're right.
If we spun 2pi, we'd get to the point they labeled.
So we need a value that is `co-terminal with 2pi` and inside our interval.

- zepdrix

If we spin around 2pi, we get to 4pi.
That's way way outside of our interval though.
Can we go backwards and get to a value in our interval maybe?

- anonymous

Don't know if this is right but maybe pi/2?

- zepdrix

No.
You need to spin a full rotation to find co-terminal angles.
full rotation = 2pi, ya?

- zepdrix

So if we're at 2pi, and we spin backwards an entire rotation,
where do we land?

- anonymous

-2pi?

- zepdrix

Hmm that certainly is co-terminal with 2pi :)
But from 2pi, you spun around the circle TWICE to get to -2pi.
Too far. That's outside of our interval.

- zepdrix

You're gonna be so mad when you figure out how simple this was LOL

- anonymous

pi/6?

- zepdrix

pi/6 is not co-terminal to 2pi :c
Should I just spill the beans? :3

- anonymous

yes :D I honestly don't know what it is

- zepdrix

We're starting at (1,0) and ending at (1,0).
In order for this to happen, we have to spin multiples of 2pi.
If we're between 0 and 2pi (excluding the value 2pi),
then we have to spin how many 2pi's around to land in the same spot?
0 of them.
t=0

- anonymous

o wow. XD

- anonymous

it's really that simple :)

- zepdrix

Ya, kind of a trick question :c
The point to point tells us that we have to move 2pi's.
But the interval tells us that we're not able to.
So you can't move at all :p

- anonymous

thank you zepdrix :)

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