Question

How do you find the important points to graph `f(x) = 20sin(π/6(t)) + 4`?

Answer 1

At x=3,9,15,21,27 (keep adding or subtracting by 6)

Explanation:

I used calculus for this: The derivative of that equation is `(20pi)/6*cos(pi/6t)` The critical points are where the derivative (or slope of the graph) equals zero, You get left with `cos(pi/6t)=0`. And using the unit circle you find that cos is 0 at `pi/2+pin` so to get `pi/6t` to `pi/2`, t=3, and then to keep adding pi you keep adding 6, so t=3,9,15,21...