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

1 Answer
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.