what is the period of the tangent function?\no $\frac{pi}{2}$\no $pi$\no $2pi$\no $\frac{pi}{4}$
what is the period of the tangent function?\no $\frac{pi}{2}$\no $pi$\no $2pi$\no $\frac{pi}{4}$
Answer
Explanation:
Step1: Recall tangent - function property
The general form of the tangent function is $y = A\tan(Bx - C)+D$. The period of the tangent function is given by the formula $T=\frac{\pi}{|B|}$. For the basic tangent function $y = \tan(x)$, where $B = 1$.
Step2: Calculate the period
Substitute $B = 1$ into the period formula $T=\frac{\pi}{|B|}$. We get $T=\frac{\pi}{|1|}=\pi$.
Answer:
B. $\pi$