determine the amplitude, period, and phase shift of the function. graph the function. y = sin(x - π/2) the…

determine the amplitude, period, and phase shift of the function. graph the function. y = sin(x - π/2) the amplitude is 1. (simplify your answer.) the period is . (type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

determine the amplitude, period, and phase shift of the function. graph the function. y = sin(x - π/2) the amplitude is 1. (simplify your answer.) the period is . (type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

Answer

Explanation:

Step1: Recall period - formula for sine function

The general form of a sine - function is $y = A\sin(Bx - C)+D$, and its period is given by $T=\frac{2\pi}{|B|}$. For the function $y=\sin(x-\frac{\pi}{2})$, we have $A = 1$, $B = 1$, $C=\frac{\pi}{2}$, and $D = 0$.

Step2: Calculate the period

Substitute $B = 1$ into the period formula $T=\frac{2\pi}{|B|}$. $T=\frac{2\pi}{|1|}=2\pi$

Answer:

$2\pi$