Question

How do you graph `y=csc(x-45)`?

Answer 1

As below.

Explanation:

Standard form of cosine function is `y = A cos (Bx - C) + D`

Given : `y = csc (x - 45^@)`

`A = 1, B = 1, C = 45 = pi/4`

`Amplitude = |A| = "NONE for CSC function`

Period `= (2pi)/|B| = 2pi`

Phase Shift `= -C / B = (pi/4) / 1 = pi/4`, `pi/4` to the right

Vertical shift = 0

graph{csc(x - (pi/4)) [-10, 10, -5, 5]}