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Use the form asin(bx−c)+ d a sin (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |. Find the period of sin(2x) sin (2 x). Tap for more steps... Find the phase shift using the formula c b c b. Tap for more steps... List the properties of the trigonometric function.
Graph of the function intersects the axis X at f = 0 so we need to solve the equation: $$\sin{\left(2 x \right)} = 0$$ Solve this equation The points of intersection with the axis X: Analytical solution $$x_{1} = 0$$ $$x_{2} = \frac{\pi}{2}$$ Numerical solution $$x_{1} = 37.6991118430775$$ $$x_{2} = 26.7035375555132$$ $$x_{3} = -21.9911485751286$$
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12 kwi 2024 · One way to graph the function y = sin(x) is to construct a table of x and y values for y = sin(x). Table 5.5.1 lists some of the values for the sine function. Plotting the points from the table and continuing along the x -axis gives the shape of the sine function, which is illustrated in the figure below.
In graphing trigonometric functions, we typically use radian measure along the \(x\) -axis, so the graph would generally look like this: The graph of the standard sine function begins at the zero point, then rises to the maximum value of 1 between 0 and \(\frac{7}{3}\) radians.