Question

Find x in [−6π, 0] such that cos(x/6) = 1/2

Answer 1

\[cos\left(\frac{x}{6}\right)
=\frac{1}{2}\]
well have you tried it yet

Answer 2

yes. it doesnt work

Answer 3

what have you tried

Answer 4

i tried doing cos^-1(1/2) and multiplying by 6

Answer 5

do you know general solutions?

Answer 6

no haha

Answer 7

\[\cos\left(\frac{x}{6}\right) =\frac{1}{2} => \frac{x}{6} =\cos^{-1}\left(\frac{1}{2}\right) => \frac{x}{6} =\frac{\pi}{3} \]

Answer 8

are you able to do it now

Answer 9

no that didnt work :( but i feel like thats almost right. How did you know it equaled pi/3?

Answer 10

\[\frac{x}{6} =\frac{\pi}{3} => 3x = 6\pi => x= 2\pi \]
it works

Answer 11

i didnt accept it lol