Question

How do you find the amplitude and period of `y=csc(12pit)`?

Answer 1

Period: 1/6. Amplitude : Infinitude. First is the overall graph, revealing the period. The second is for one period. The graphs are on on ad hoc scales.

Explanation:

As | csc function| `in [1, oo)`. the amplitude is in infinitude.

The period is (2pi)/(12pi)=1/6=0.167, nearly.

graph{ysin(12pix)-1=0x^2 [-3.603, 3.603, -18, 18]}

graph{ysin(12pix)-1=0x^2 [-.083, .083, -18, 18]}