Question

What function represented by graph? Answer choices

y=tan 2 theta
y=tan 1/2 theta
y=tan theta
y=tan 1/4 theta

Answer 1

`y=\tan (1)/(2) \pi`

Explanation:

The given graph has a period of
`2\pi`, because the graph repeats after every
`2\pi` units.

The formula for finding the period of a tangent function is

`T=(\pi)/(b)`

We substitute the period to get;

`2\pi=(\pi)/(b)`

This implies that;

`b=(\pi)/(2\pi)`

Therefore
`b=(1)/(2)`

Hence the function represented by the graph is

`y=\tan (1)/(2) \pi`