How do you graph #y=2csc[2(x+pi/6)]#?

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Answer 1 · 2018-06-24T02:51:48

As Below.

#y = 2 csc (2x + pi/3)#

Standard form of cosecant function is #y = A csc(Bx - C) + D#

#A = 2, B = 2, C = -pi/3, D = 0#

#Amplitude = |A| = "NONE" for cosecant function"#

#"Period " = (2pi) / |B| = (2pi) / 2 = pi#

#"Phase Shift " = -C / B = -(pi/3) / 2 = -pi/6, " " pi/6 " to the LEFT"#

#"Vertical Shift " = D = 0#

graph{2 csc(2x + pi/3) [-10, 10, -5, 5]}