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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?
Sine function
Not Sine function
Identify sine function from set of ordered pairs:
(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)
SinxSinxSinx
Sin2xSin2xSin2x
Sin(x2)Sin(\frac{x}{2})Sin(2x)
(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
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?
(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)
(0,0),(π12,12),(π3,0)\left(0,0\right),\left(\frac{\pi}{12},\frac{1}{\sqrt{2}}\right),\left(\frac{\pi}{3},0\right)(0,0),(12π,21),(3π,0)
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),(π2,1),(2π,0).(0,0),(\frac{\pi}{2},1),(2\pi,0).(0,0),(2π,1),(2π,0).
(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)
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?
It is done.