Question

Please help, not quite getting it.
2cosα=√3

I know that you divide both sides by two and then you have cosα=√3/2 which is a ratio for a 30 60 90 but i dont know where to go from there.

Answer 1

yes it is

Answer 2

is the answer the angle they share? the 30?

Answer 3

yes, it is the 30 degree angle

Answer 4

you've been like my best friend tonight, i feel like i should send you a gift basket...

Answer 5

so it would be both the -30 and the +30...

Answer 6

if you are using the unit circle, take a look at the last page of the attached cheat sheet

Answer 7

find the point on the unit circle where the first coordinate is \(\frac{\sqrt{3}}{2}\) and look at the angle
it will be 30 degrees or if you are using radians it will be \(\frac{\pi}{6}\)

Answer 8

okay, my answer though includes the -30

Answer 9

yes that is also true
there are an infinite number of answers

Answer 10

you don't see -30 on the cheat sheet, but you can visualize going 30 degrees clockwise and you get the same first coordinate

Answer 11

in math we say "cosine is even" meaning \(\cos(x)=\cos(-x)\) so for example
\[\cos(30)=\cos(-30)\]

Answer 12

okay
that makes sense! Thank you so much for your help you have no idea how much of a blessing your explanations have been!

Answer 13

please put a bottle of whiskey in the basket.
thanks

Answer 14

(yw)

Answer 15

btw if you haven't seen it before, hold on to that cheat sheet, or if you lose it remember "paul's notes" you can google and find it there
other good cheat sheets too

Answer 16

:) No problem, it'll be in there! sweet! thanks :) I think this is the last you'll have to deal with me tonight though, I'm off to sleep. Thanks again, you're awesome.

Answer 17

(blush) enough math for me too
time for tv

Answer 18

that sounds rather fantastic. Maybe I'll watch an episode of Suits before I check out...