the horizontal scale is π/2, which means every tick mark on the x - axis is separated by π/2. leave all…

the horizontal scale is π/2, which means every tick mark on the x - axis is separated by π/2. leave all answers for the period in terms of π denote by pi. amplitude = period =

the horizontal scale is π/2, which means every tick mark on the x - axis is separated by π/2. leave all answers for the period in terms of π denote by pi. amplitude = period =

Answer

Explanation:

Step1: Determine the amplitude

The amplitude is the distance from the mid - line to the maximum or minimum of the wave. The mid - line is at $y = 1$. The maximum value is at $y=3$ and the minimum at $y = - 1$. The amplitude $A=\frac{3 - (-1)}{2}=1$.

Step2: Determine the period

The horizontal scale has tick - marks separated by $\frac{\pi}{2}$. Counting the number of tick - marks for one full cycle. One full cycle occurs over 2 tick - marks. So the period $T = 2\times\frac{\pi}{2}=\pi$.

Answer:

amplitude = 1 period = $\pi$