Investigating the parameter change in trigonometric function
Move the sliders to investigate the effect of parameter change in sine, cosine, and tangent functions. For example, show sine function: f(x) = sin x. Investigate what happens when you change the parameters. Compare these behaviors with cosine and tangent functions and answer these questions below.
1. What causes the function to slide to the: a) right? b) left? c) up? d) down? 2. What causes the function to look: a) wider? b) squeezed or stretched? 3. Which parameter(s) changes the amplitude of the functions? 4. Which parameter(s) changes the period of the functions? 5. Which parameter(s) changes the peaks and bases of the functions?