the graph of $y = \\tan\\left\\frac{1}{4}\\left(x - \\frac{\\pi}{2}\\right)\\right+1$ is shown. what is the…
the graph of $y = \\tan\\left\\frac{1}{4}\\left(x - \\frac{\\pi}{2}\\right)\\right+1$ is shown. what is the period of the function?
Answer
Explanation:
Step1: Identificar la fórmula del período de la tangente
Para la función $y = A\tan(B(x - C))+D$, el período $P$ está dado por $P=\frac{\pi}{|B|}$.
Step2: Identificar el valor de B
En la función $y=\tan\left[\frac{1}{4}(x - \frac{\pi}{2})\right]+1$, $B = \frac{1}{4}$.
Step3: Calcular el período
Sustituir $B=\frac{1}{4}$ en la fórmula $P=\frac{\pi}{|B|}$, entonces $P=\frac{\pi}{\left|\frac{1}{4}\right|}=4\pi$.
Answer:
$4\pi$