Friday, March 21, 2014

Graphing Trigonometric Functions!

This weekend, introduce yourself to some graphing of trigonometric functions! Please complete the worksheet we started in class (there is an image of it below if you want/need a new one).

Remember, the hard part is labeling the axes. Once you have the axes labeled, you can plot points to create the graph of sin(x), and then do the same to create the graph of cos(x). A few things to keep in mind...

  • The "input" or "x" variable is our angle measure, or the theta. So your x-axis for both graphs should show each of the angle measures (thetas) provided in the table. The challenge here is to correctly space each point
    • Consider converting these to degrees....that might help...
    • Or, convert them to decimals (for instance, type "pi/2" and you'll get 1.57) and then you can number your axes
    • Your other option is to use the angle measures as radians. In this case, you need to have a strong understanding of the fractions to see how everything is spaced/scaled on the x-axis.
  • The "output", "y," or "f(x)" value is our ratio. So for sin(x), your y-axis is labeled with all of the values for sine you have in your table. 
    • As you number your axes, think--what is the smallest value of y? The largest? 
  • The x and y axes will be labeled exactly the same on both graphs
  • One graph is for the values of sine, the other is for the values of cosine
  • After you label your axes, plot points (x,y) or (angle measure, ratio) to graph each of the trig ratios
This is what we'll start getting into on Monday! Enjoy!




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