Friday, September 25, 2009

Graphing Trigonometric Functions

Today in class we learned how to graph trigonometric (circular) fuctions. This involves properties of the Unit Circle and using the six trig. ratios. This can be done by using programs such as Graphmatica or by putting in trig. values for points aong the Unit Circle.
For example: y= sin(x)+1
How I would approach this question without aid of a graphing calculator or any other programs is by finding exact values for Sin (-1,.5,1) and then add one to the values, since it is Sin(x)+1 {the +1 simply means that the function moves 1 spot upon the y-axis} If you have a chart it makes it that much easier, but if you don't than you have to check values using triangle values on the Unit Circle. Then it is just a matter of plotting your values on your graph and drawing your line.
Now you have to determine the amplitude, period, domain, range and zeros of the function.
Amplitude=1 (the distance up or down it moves from the middle of te function)
Period=2pi
Domain= X set Reals
Range= [0,2]
zeros=.....-5pi/2, -pi/2, 3pi/2, 7pi/2
This stuff makes sense to me......
Exercise 6: Questions 1-16 are assigned

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