How do you use the amplitude and period to graph #of y=sin(x + (pi/2) )#?

1 Answer
NGBRO
Mar 30, 2017

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

Explanation:

From the equation:

Since #x# itself is not multiplied with any constant, the period of the curve is #2pi# radians, or 360 degrees.

Meanwhile, #(+pi/2)# is a phase shift of the curve by #pi/2# radians, in this case since it is positive, it is an advance shift (i.e. whole curve shifts to the left by #pi/2# radians.

Also, the entire sine function is not multiplied by any constant, so amplitude of the curve is 1.

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