what is the period of the function $y = \tanleft(\frac{pi}{4}left(x - \frac{pi}{3}\right)\right)$?\n3…
what is the period of the function $y = \tanleft(\frac{pi}{4}left(x - \frac{pi}{3}\right)\right)$?\n3 units\n4 units\n6 units\n8 units
Answer
Answer:
B. 4 units
Explanation:
Step1: Recall period formula for tangent
The period of $y = A\tan(B(x - C))+D$ is $\frac{\pi}{|B|}$.
Step2: Identify value of B
In $y=\tan\left(\frac{\pi}{4}(x - \frac{\pi}{3})\right)$, $B=\frac{\pi}{4}$.
Step3: Calculate the period
Period $=\frac{\pi}{\left|\frac{\pi}{4}\right|}=\frac{\pi}{\frac{\pi}{4}} = 4$.