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120,360

oh my, beaten to the punch gj

haha okay so then hmmm

well, now that I think about it, I think raja might be wrong

it should have 4 solutions right?

im not sure, it just says to determine all solutions in the interval 0-->360

yes!

^concur

lol ya, i got tired ofputting theata.

30

okay is it 60 and 300 degrees?

no tetha is 30

look, as I solve it, it's
\[\theta=2\cos^{-1} (1/2)\]

the thing is, that only gives you 120. but it's a good starting point

mmmmm... okay, well first. special angles is like 45-45-90, and 30-60-90, right?

oh....okay i gotcha now on special angles. lol im totaly flipped around in this class

okay then so..cosQ/2 = 1/2 right?
so cos would be a positive

I think 120 is it.....

yes :) 1st and 4th

so, if we find the reference angle, then what would the two angles be?

mmm....pi/3 and 5pi/6?

yes to the first, the last, not so much, that's in the second quadrant

or am I failing?

oh. haha i mean 5pi/3

With zepdrix, but you are right

so the second answer would be 5pi/3?

but, the problem is, we need that angle to be doubled to match our equation of theta/2

hmmm...ok okkay, so doubled from pi/3, so pi/3 and 5pi/6?

uh, lets throw this back to degrees shall we?
pi/3 = 60 and 5pi/3 = 300

no, 5pi/6 = 150 degrees

haha shoot what am i doing wrong

here's a tip. every pi/6 = 30 degrees

pi/6 pi/4 pi/3 pi/2 4pi/6div by 2 = 2pi/3
OH!.....haha okay so pi/3 and 2 pi/3???

just plug those into your original equation and see what you get :P

yup^

AH! so i was right?! the 60 and 300?!

\[\large \theta=\quad 120^o, \quad 600^o\]

and since we're going only to 360?

(radians are easier imo but degrees work k)

AH!!! im so lost haha

aw :D

its almost like you're my lilsis or somethin xD

lol,

okay so i get the 1/2 and that is in the first quad giving me 60 degrees right?

yes, and the 300

okay, how can i figure out the 300?!

it's a reference angle of 60

yes it is a ref angle 60

WAIT!!! 300 cuz its cos 1.2, sin - sqrt3 /2 ?!

right?! dang i think im slow

uh

haha did i do it right?!

yes

YAY!!!! > . < THANK YOU SO MUCH!!! ugh....

however, you have to double those and since you only go to 360, 120 is your only answer

sometimes sketching the curve is helpful
|dw:1355239813847:dw|

agreed, but my calculator is dead xD