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Mathematics 17 Online
Nicole:

http://prntscr.com/npflqm

Nicole:

@Vocaloid

Narad:

In what quadrant is \[\pi\] radians

Nicole:

I think its 180

Narad:

yes

Nicole:

okay Convert 45° into radians.

Narad:

\[180º = \pi rad\]

Nicole:

π/4?

Narad:

yes

Nicole:

Convert 20° into radians.

Nicole:

π/9?

Narad:

yes

Nicole:

Convert 930° into radians.

Nicole:

31π/6?

Narad:

Yes

Nicole:

okay http://prntscr.com/npfr43

Narad:

|dw:1558022594455:dw|

Narad:

x is horizontal y is vertical

Nicole:

how about questions 2 and 3?

Narad:

Ratio of sides \[x:y =1: \sqrt(3)\]

Narad:

This is similar to a triangle with angles 90º, 60º and 30º

Nicole:

Okay got it and question 3?

Narad:

The radius of the unit circle is = 1 x=1/2 \[y=\sqrt3/2\]

Nicole:

Okay makes sense http://prntscr.com/npfv02

Narad:

This is incomplete

Nicole:

no its the question for the same triangle above

Narad:

3rd quadrant \[x=-1/2\] and \[y=-\sqrt3/2\] 2nd quadrant \[x=-1/2\] and \[y=\sqrt3/2\] 4th quadrant \[x= 1/2\] and \[y=\sqrt3/2\]

Narad:

4th quadrant \[y=-\sqrt3/2\]

Nicole:

Okay http://prntscr.com/npfxgx

Narad:

Anticlockwise from O \[(1,0)\] \[(\sqrt3/2, 1/2)\] \[(\sqrt2/2, \sqrt2/2)\] \[(1/2, \sqrt3/2)\] \[(0,1)\] \[(-1/2, \sqrt3/2)\] \[(-\sqrt2/2, \sqrt2/2)\] \[(-\sqrt3/2, 1/2)\] \[(-1,0)\] \[(-\sqrt3/2, -1/2)\] \[(-\sqrt2/2, \sqrt2/2)\] \[(-1/2, -\sqrt3/2)\] \[(0,-1)\] \[(1/2,-\sqrt3/2)\] \[(\sqrt2/2, -\sqrt2/2)\] \[(\sqrt3/2, -1/2)\]

Nicole:

so I start from y?

Narad:

no from x and going anticlockwise

Narad:

The first number is the x-coordinate and the second number is the y-coordinate

Nicole:

but I would put the x and y coordinate in the same box?

Narad:

yes as I have written them

Narad:

separated by a comma

Nicole:

OKay got it thanks so much for the help

Narad:

you are welcome

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