Question

What is the period of y=1+tan(1/2x)?

Answer 1

Answer:

The period of the given function is $2\pi$

Step-by-step explanation:

Given : Function $y=1+\tan(\frac{1}{2}x)$

To find : What is the period of the function?

Solution :

The general form of the tangent function is $f(x)=A+B\tan(Cx)$

Where, Period of the tangent function is $P=\frac{\pi}{|C|}$

Now, Compare the general form with the given function.

$y=1+\tan(\frac{1}{2}x)$

A=1 , B=1 , $C=\frac{1}{2}$

Period of the function is

$P=\frac{\pi}{|C|}$

$P=\frac{\pi}{|\frac{1}{2}|}$

$P=2\pi$

So, The period of the given function is $2\pi$

Answer 2

Periodic in x  and 2Pi is the period