Question

cos(x-pi/3)=-1/2

Answer 1

you wanna verify your result ?

Answer 2

Find x..

Answer 3

let first solution be alpha

\[\alpha -\frac{\pi}{3}= \cos^{-1}\frac{-1}{2} = \frac{2\pi}{3}\]
\[\alpha = 2\pi\]
general solution for integer n:

\[x = 2\pi n +\pi = (2n+1)\pi \]

Answer 4

i think i did it right..

Answer 5

cos(x-pi/3)=-1/2
x - pi/3 = 2pi/3 or x - pi/3 =4pi/3
x = 2pi/3 + pi/3 or x = 4pi/3 + pi/3
x = pi or x = 5pi/3

Answer 6

shoot i missed a solution

Answer 7

calm.....