Here is a summary of what we did this week with details on the assignment. Week 4 Trigonometric Constructions Summary
We started with a construction of the points on the hyperbola f(x) = 1/x using tools based on straightedge and compass.
We then moved on to graphing points on the curve f(x) = sin(x).
Assignment:We used the built in sine function today. We started by graphing f(x)= A*sin(w*x +b) using sliders for A, w, b. We explored the effect of varying each of the parameters: A, the amplitude, w the frequency, and b, which is related to the phase shift (the phase shift is -b/w).
Next we compared sin functions with different frequencies (different values of w) for example sin(x), sin(2*x), sin(3*x). We looked at the sum of the three functions and found the period of the sum. We repeated this for other combinations of sin functions, for example sin(x), sin(x/2), sin(x/3) and sin(x), sin(x/2), sin(x/4). We also explored the impact of using different amplitudes and values for b.
Assignment:Due: Friday 10/9 at 11:00 pm.