Graphical Representation of v(t) Function

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SUMMARY

The discussion focuses on graphically representing the function v(t) = 3 + 1.414cos(w0t) - 1.414sin(w0t) + 2cos(2w0t + 5π/2). The user seeks assistance in plotting both sine and cosine components on the same graph. A solution is provided using the online tool at QuickMath, where users can input the equation and set the limits for x from -2π to 2π and y from 0 to 8 to visualize the function effectively.

PREREQUISITES
  • Understanding of trigonometric functions, specifically sine and cosine.
  • Familiarity with the concept of periodic functions.
  • Basic knowledge of graphing functions using online tools.
  • Ability to interpret graphical data and function behavior.
NEXT STEPS
  • Explore the use of Python libraries like Matplotlib for plotting mathematical functions.
  • Learn about the properties of periodic functions and their graphical representations.
  • Investigate the impact of phase shifts in trigonometric functions.
  • Study advanced graphing techniques using software like Desmos or GeoGebra.
USEFUL FOR

Students, educators, and professionals in mathematics or engineering fields who need to visualize trigonometric functions and their combinations.

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I'm trying to represent graphically the following function:

v(t)=3 + 1.414cos(w0t) - 1.414sin(w0t) + 2cos(2w0t + 5pi/2)


The problem is that I'm not sure how I represent the sine and cosine both in the same graph...I know that 3 is the continuous component and the w0t equals the "x" variable...Any help on this would be much appreciated!
 
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Goto this web site: http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=graphs&s2=equations&s3=basic

and copy this:

y=3 + 1.414cos(x) - 1.414sin(x) + 2cos(2x + 5*pi/2)

into the box marked "Plot" and use the limits x=-2*pi to x=2*pi and y=0 to y=8 then click plot.
 
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