review the table. which values, in order, will complete the table? x y = sin(x) π 0 7π/6 5π/4 4π/3 -1/2…

Explanation:

Step1: Recall sine - function values

We know the unit - circle definition of the sine function (y = \sin(x)).

Step2: Calculate (\sin(\frac{7\pi}{6}))

(\sin(\frac{7\pi}{6})=\sin(\pi+\frac{\pi}{6})=-\sin(\frac{\pi}{6})=-\frac{1}{2})

Step3: Calculate (\sin(\frac{5\pi}{4}))

(\sin(\frac{5\pi}{4})=\sin(\pi + \frac{\pi}{4})=-\sin(\frac{\pi}{4})=-\frac{\sqrt{2}}{2})

Step4: Calculate (\sin(\frac{4\pi}{3}))

(\sin(\frac{4\pi}{3})=\sin(\pi+\frac{\pi}{3})=-\sin(\frac{\pi}{3})=-\frac{\sqrt{3}}{2})

Answer:

(-\frac{1}{2},-\frac{\sqrt{2}}{2},-\frac{\sqrt{3}}{2})