What are the important points to graph #y=sin(x+90)#?

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Answer 1 · 2018-06-07T06:51:58

As below.

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

Given #y = sin (x + 90) = sin (x + pi/2)#

#A = 1, B = 1, C = -pi/2, D = 0#

#Amplitude = |A| = 1#

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

#Phase Shift " = -C / B = -pi/2#, #color(red)(pi/2 " to the Left"#

#"Vertical Shift " = D = 0#

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