- #1
PHK
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I need help on graphing cosine and sine functions. i know how to read a graph and come up with the equation but i don't know how to do it the other way around. i want to be able to graph something like y=-2+2cos0.5x
To plot a cosine and sine function on a graph, you will need to first determine the range of values for the x-axis. Then, use a calculator or mathematical table to calculate the corresponding values for the cosine and sine for each point on the x-axis. Plot these points on the graph and connect them with a smooth curve to complete the graph.
The period of a cosine and sine function is the distance between two consecutive peaks or troughs on the graph. For the cosine function, the period is 2π, while for the sine function, the period is also 2π. This means that the graph will repeat itself every 2π units on the x-axis.
The amplitude of a cosine and sine function is the distance between the midline and the peak or trough of the graph. To find the amplitude, divide the range of values on the y-axis by 2. This value will be the amplitude for both the cosine and sine functions.
Yes, you can graph a cosine and sine function without using a calculator or mathematical table by using the unit circle. The unit circle is a circle with a radius of 1 and is centered at the origin of a coordinate plane. The x and y coordinates of a point on the unit circle correspond to the cosine and sine values, respectively, for that point. By plotting points on the unit circle and connecting them, you can graph a cosine and sine function.
To graph multiple cosine and sine functions on the same graph, you can use different colors for each function or use a legend to differentiate between them. Additionally, you can shift the graphs vertically or horizontally by adding or subtracting a value from the function. This will create a new graph with a different amplitude or period.