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Identify sine function from set of ordered pairs:
(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)
Sin3xSin3xSin3x
Sin2xSin2xSin2x
Sin(x2)Sin(\frac{x}{2})Sin(2x)
(0,0),(π4,12),(π,0)\left(0,0\right),\left(\frac{\pi}{4},\frac{1}{\sqrt{2}}\right),\left(\pi,0\right)(0,0),(4π,21),(π,0)
SinxSinxSinx
Does the pair of ordered pairs {(−1,−1),(−8,−2),(−27,−3),(−64,−4)}\left\{(-1,-1),(-8,-2),(-27,-3),(-64,-4)\right\}{(−1,−1),(−8,−2),(−27,−3),(−64,−4)}represent a sine function?
Sine function
Not Sine function
Does the pair of ordered pairs {(−3π4,2),(−π2,0),(−π4,−1),(0,0)}\left\{(\frac{-3\pi}{4},2),(-\frac{\pi}{2},0),(-\frac{\pi}{4},-1),\left(0,0\right)\right\}{(4−3π,2),(−2π,0),(−4π,−1),(0,0)}represent a sine function?
Does the pair of ordered pairs {(0,1),(π2,2),(π,1),(π2,0)}\left\{(0,1),(\frac{\pi}{2},2),(\pi,1),(\frac{\pi}{2},0)\right\}{(0,1),(2π,2),(π,1),(2π,0)} represent a sine function?
Does the pair of ordered pairs {(−3π2,2),(−π2,0),(0,1),(π2,2)}\left\{(\frac{-3\pi}{2},2),(\frac{-\pi}{2},0),\left(0,1\right),\left(\frac{\pi}{2},2\right)\right\}{(2−3π,2),(2−π,0),(0,1),(2π,2)} represent a sine function?
Does the pair of ordered pairs {(1,1),(2,1),(3,1),(4,1)}\left\{(1,1),(2,1),(3,1),(4,1)\right\}{(1,1),(2,1),(3,1),(4,1)} represent a sine function?
(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)
(0,0),(π18,12),(π12,12)\left(0,0\right),\left(\frac{\pi}{18},\frac{1}{2}\right),\left(\frac{\pi}{12},\frac{1}{\sqrt{2}}\right)(0,0),(18π,21),(12π,21)
(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)
It is done.