Trigonometry
Solve the following equation for x if x lies in the interval [0,6π]\left[0,6\pi\right\rbrack[0,6π] .
y=12cos(x6)y=12\cos\left(\frac{x}{6}\right)y=12cos(6x)
x=6cos−1(y12)x=6\cos^{-1}\left(\frac{y}{12}\right)x=6cos−1(12y)
x=16cos−1(y12)x=\frac16\cos^{-1}\left(\frac{y}{12}\right)x=61cos−1(12y)
x=6cos−1(12y)x=6\cos^{-1}\left(12y\right)x=6cos−1(12y)
x=16cos−1(12y)x=\frac16\cos^{-1}\left(12y\right)x=61cos−1(12y)