identify the following using the graph.\nperiod:\nfrequency:\nfrequency factor: $b = $\ndone
identify the following using the graph.\nperiod:\nfrequency:\nfrequency factor: $b = $\ndone
Answer
Explanation:
Step1: Define period
The period is the length of one complete cycle. From the graph, one - complete cycle occurs from (x = 0) to (x=\pi), so the period (T=\pi).
Step2: Calculate frequency
The frequency (f) is the reciprocal of the period. Using the formula (f=\frac{1}{T}), since (T = \pi), then (f=\frac{1}{\pi}).
Step3: Find frequency factor
The general form of a periodic function is (y = A\sin(bx)) or (y=A\cos(bx)), and the period (T=\frac{2\pi}{b}). Since (T = \pi), we solve the equation (\pi=\frac{2\pi}{b}) for (b). Cross - multiplying gives (\pi b=2\pi), and then (b = 2).
Answer:
Period: (\pi) Frequency: (\frac{1}{\pi}) Frequency factor (b = 2)