What does a Sinx graph look like?

To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. This shape is also called a sine wave, especially when it appears in radio and electronic circuits.

How do you find the sine graph?

To find the equation of sine waves given the graph:

1. Find the amplitude which is half the distance between the maximum and minimum.
2. Find the period of the function which is the horizontal distance for the function to repeat.
3. Find any phase shift, h.

How do you graph sin 3x?

1 Answer

1. Create a data table of values for f(x)=sinθ
2. Graph the parent function of y=f(x)=sin(x)
3. Next graph the given function y=f(x)=sin3x.

Where does a sine graph start?

The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°). It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.

What does CSC graph look like?

The cosecant goes down to the top of the sine curve and up to the bottom of the sine curve. After using the asymptotes and reciprocal as guides to sketch the cosecant curve, you can erase those extra lines, leaving just y = csc x. The figure that follows shows what this function looks like all on its own.

How do you graph the sine function?

Because the graph of the sine function is being graphed on the x–y plane, you rewrite this as f(x) = sin x where x is the measure of the angle in radians. Find the values for domain and range. Calculate the graph’s x-intercepts. Calculate the graph’s maximum and minimum points. Sketch the graph of the function.

How to graph sine and cosine functions?

– For a sine or cosine graph, simply go from 0 to 2π on the x-axis, and -1 to 1 on the y-axis, intersecting at the origin (0, 0). – Both y = sin ⁡ ( x) {\\displaystyle y=\\sin (x)} and y = cos ⁡ ( x) {\\displaystyle y=\\cos (x)} repeat the same shape from negative infinity to positive infinity – Use the basic equations as given: y = sin ⁡ ( x) {\\displaystyle y=\\sin (x)} and y = c o s ( x) {\\displaystyle y=cos (x)}

How do you calculate sine?

In order to calculate sin(x) on the calculator: Enter the input angle. Select angle type of degrees (°) or radians (rad) in the combo box. Press the = button to calculate the result.

What is the equation for a sine graph?

The general equation of a sine graph is y = A sin(B(x – D)) + C. The general equation of a cosine graph is y = A cos(B(x – D)) + C. Example: Given a transformed graph of sine or cosine, determine a possible equation.