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

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Answer 1 · 2018-06-13T08:38:16

As below.

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]}