period from a trig graph (sin/cos)\nquestion\ndetermine the period of the following graph.\nanswer\nattempt…
period from a trig graph (sin/cos)\nquestion\ndetermine the period of the following graph.\nanswer\nattempt 1 out of 2\nsubmit answer
Answer
Explanation:
Step1: Identify period - definition
The period of a trig - function graph is the horizontal length of one complete cycle.
Step2: Select two corresponding points
Choose two consecutive peaks or troughs. Let's take the trough at $x = -\frac{4\pi}{3}$ and the next trough at $x=\frac{8\pi}{3}$.
Step3: Calculate the period
The period $T$ is given by $T=\frac{8\pi}{3}-\left(-\frac{4\pi}{3}\right)$. $T=\frac{8\pi + 4\pi}{3}=\frac{12\pi}{3} = 4\pi$.
Answer:
$4\pi$