`a,``sin(2x-\pi/3)=1/2`
`->`\(\left[ \begin{array}{l}2x-\frac{\pi}{3}=2n\pi+\frac{\pi}{6}\\2x-\frac{\pi}{3}=2n\pi+\pi-\frac{\pi}{6}\end{array} \right.\) `(n∈Z)`
`->`\(\left[ \begin{array}{l}x=\frac{\pi}{4}+\pi n\\2x-\frac{\pi}{3}=2n\pi+\pi-\frac{\pi}{6}\end{array} \right.\) `(n∈Z)`
`->`\(\left[ \begin{array}{l}x=\frac{\pi}{4}+\pi n\\x=\frac{7\pi}{12}+\pi n\end{array} \right.\)
`(n ∈Z)`
`b,cot(x-\pi/4)=-\sqrt{3}`
`->tan(x-\pi/4)=-\sqrt{3}/3`
`->x-\pi/4=\pi/4+k\pi`
`->x=\pi/2+k\pi`