What is the period of `y = 1+ tan((1)/(2)x)`? a. `(1)/(2)` b. π c. 2π d. 1

ANSWER

C. 2π

EXPLANATION

The given function is



The period of the tangent function is given by



where B is the coefficient of the argument of the tangent function.

This implies that,



Hence, the period of the given function is,



This simplifies to,



The correct answer is option C.

C.

Step-by-step explanation:

We have been given a trigonometric function . We are asked to find period of our given function.

We know that period of a tangent function is form , is .

We can rewrite our given function as:

We can see that value of b is for our given function.

Using fraction rule , we will get:

Therefore, period of our given function is and option C is the correct choice.

A and C

Step-by-step explanation:

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