How do you sketch one cycle of y=12cos(13x)?

1 Answer
Jul 28, 2018

See graph and details.

Explanation:

Cycle period for

y=12cos(x3)[12,12] is 2π13=6π.

From any x = a, one cycle is (a+6π).

Grapm for the cyclex[3π,3π], with all aspects:
graph{(y-1/2cos(x/3))(y^2-0.25)(x^2-9(pi)^2)=0[-10 10 -2 2]}

See the effect of the scale factor 1/2 on wave amplitude, from the

graph of y=cos(x3).

graph{(y-cos(x/3))=0[-10 10 -2 2]}