Which of the following options is an even function. a. f(x)=sin(x+π)b. f(x)=2sin(2x)c. f(x)=cos(x+π)d. f(x)=2sin(π+2π)

Option C -

Step-by-step explanation:

To find : Which of the following options is an even function?

Solution :

To determine the function is even,odd or neither we will find f(-x)

If f(-x) = - f(x) then function is odd.

If f(-x) = f(x) then function is even.

We know that,

is always a odd function.

is always an even function.

Now, In the following options

A.

It is a odd function.

B.

It is a odd function.

C.

It is an even function.

D.

It is a odd function.

Therefore, Option C is correct.

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