Question

How do you graph `y=-csc(4x-pi)` and include two full periods?

Answer 1

`y = - csc ( 4x - pi ) in ( - oo, -1] U [1, oo )`

Period = `(2pi)/4 = pi/2`;

Graph for two periods:: `x in ( pi/4, 5/4pi )`,

with asymptotes `x = pi/4, 3/4pi`:
graph{(y sin (4x - pi )+1)(x- pi/4+0y)(x-5/4pi+0y)=0 [pi/4 5/4pi -pi pi]}

See bounds `x = pi/2 = 1.57 and x = 4.71`.