a. `sinx=0`
`<=>x=kpi(kinZZ)`
b. `sinx=1/2`
`<=>sinx=sin(pi/6)`
`<=>`\(\left[ \begin{array}{l} x=\dfrac{\pi}{6}+k2\pi\\x=\dfrac{5\pi}{6}+k2\pi\end{array} \right.\) `(kinZZ)`
c. `sinx=-1/2`
`<=>sinx=sin(-pi/6)`
`<=>`\(\left[ \begin{array}{l} x=\dfrac{-\pi}{6}+k2\pi\\x=\dfrac{7\pi}{6}+k2\pi\end{array} \right.\) `(kinZZ)`
d. `sinx=sqrt2/2`
`<=>sinx=sin(pi/4)`
`<=>`\(\left[ \begin{array}{l} x=\dfrac{\pi}{4}+k2\pi\\x=\dfrac{3\pi}{4}+k2\pi\end{array} \right.\) `(kinZZ)`
e. `sinx=-sqrt2/2`
`<=>sinx=sin(-pi/4)`
`<=>`\(\left[ \begin{array}{l} x=\dfrac{-\pi}{4}+k2\pi\\x=\dfrac{5\pi}{4}+k2\pi\end{array} \right.\) `(kinZZ)`
f. `sinx=sqrt3/2`
`<=>sinx=sin(pi/3)`
`<=>`\(\left[ \begin{array}{l} x=\dfrac{\pi}{3}+k2\pi\\x=\dfrac{2\pi}{3}+k2\pi\end{array} \right.\) `(kinZZ)`
g. `sinx=-sqrt3/2`
`<=>sinx=sin(-pi/3)`
`<=>`\(\left[ \begin{array}{l} x=\dfrac{-\pi}{3}+k2\pi\\x=\dfrac{4\pi}{3}+k2\pi\end{array} \right.\) `(kinZZ)`
h. `sinx=1`
`<=>x=pi/2+k2pi(kinZZ)`
i. `sinx=-1`
`<=>x=-pi/2+k2pi(kinZZ)`
j. `sinx=-2/3`
`<=>`\(\left[ \begin{array}{l} x=\arcsin\dfrac{-2}{3}+k2\pi\\x=\pi-\arcsin\dfrac{-2}{3}+k2\pi\end{array} \right.\) `(kinZZ)`