in the function f(x) = tan(2x + π), what is the period?\na. $\frac{pi}{3}$\nb. $2pi$\nc. $\frac{pi}{4}$\nd…
in the function f(x) = tan(2x + π), what is the period?\na. $\frac{pi}{3}$\nb. $2pi$\nc. $\frac{pi}{4}$\nd. $\frac{pi}{2}$
Answer
Explanation:
Step1: Recall tangent - period formula
The period of the tangent function $y = A\tan(Bx + C)$ is given by $T=\frac{\pi}{|B|}$.
Step2: Identify the value of B
In the function $f(x)=\tan(2x+\pi)$, $B = 2$.
Step3: Calculate the period
Substitute $B = 2$ into the formula $T=\frac{\pi}{|B|}$, we get $T=\frac{\pi}{|2|}=\frac{\pi}{2}$.
Answer:
D. $\frac{\pi}{2}$