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Identify sine function from set of ordered pairs:
(0,0),(π3,32),(π2,1)\left(0,0\right),\left(\frac{\pi}{3},\frac{\sqrt{3}}{2}\right),\left(\frac{\pi}{2},1\right)(0,0),(3π,23),(2π,1)
Sin3xSin3xSin3x
SinxSinxSinx
Sin(x2)Sin(\frac{x}{2})Sin(2x)
(0,0),(π2,1),(2π,0).(0,0),(\frac{\pi}{2},1),(2\pi,0).(0,0),(2π,1),(2π,0).
Sin2xSin2xSin2x
Does the pair of ordered pairs {(π,0),(−π2,−2),(0,0),(π2,2)}\left\{(\pi,0),(-\frac{\pi}{2},-2),\left(0,0\right),(\frac{\pi}{2},2)\right\}{(π,0),(−2π,−2),(0,0),(2π,2)} represent a sine function?
Sine function
Not Sine function
(0,0),(π12,12),(π8,12)(0,0),\left(\frac{\pi}{12},\frac{1}{2}\right),\left(\frac{\pi}{8},\frac{1}{\sqrt{2}}\right)(0,0),(12π,21),(8π,21)
Sinx2Sin\frac{x}{2}Sin2x
(0,0),(π,32),(3π2,1)\left(0,0\right),\left(\pi,\frac{\sqrt{3}}{2}\right),\left(\frac{3\pi}{2},1\right)(0,0),(π,23),(23π,1)
Sin(x3)Sin\left(\frac{x}{3}\right)Sin(3x)
Does the pair of ordered pairs {(0,0),(π2,1),(π,0),(π2,−1)}\left\{(0,0),(\frac{\pi}{2},1),(\pi,0),(\frac{\pi}{2},-1)\right\}{(0,0),(2π,1),(π,0),(2π,−1)}represent a sine function?
(0,0),(π3,12),(π2,12)\left(0,0\right),\left(\frac{\pi}{3},\frac{1}{2}\right),\left(\frac{\pi}{2},\frac{1}{\sqrt{2}}\right)(0,0),(3π,21),(2π,21)
Does the pair of ordered pairs{(−5,5),(−4,4),(−3,3),(−2,2)}\left\{(-5,5),(-4,4),(-3,3),(-2,2)\right\}{(−5,5),(−4,4),(−3,3),(−2,2)} represent a sine function?
(0,0),(π2,12),(2π,0)\left(0,0\right),\left(\frac{\pi}{2},\frac{1}{\sqrt{2}}\right),\left(2\pi,0\right)(0,0),(2π,21),(2π,0)
It is done.