contestada

Which statement is true?

A.
The function f(X)=sin(x) is an even function because its graph is symmetric about the origin.
B.
The function f(X)=sin(x) is an odd function because f(-x) = -f(x).
C.
The function f(X)=cos(x) is an even function because its graph is symmetric about the origin.
D.
The function f(X)=cos(x) is an odd function because f(-x) = f(x). .

Respuesta :

facundo3141592

The true statements are:

  • B: "The function f(x)=sin(x) is an odd function because f(-x) = -f(x)."
  • C: "The function f(x)=cos(x) is an even function because its graph is symmetric about the origin."

Which statement is true?

An odd function is a function such that:

f(x) = -f(-x)

An even function is a function such that:

f(x) = f(-x).

We know that:

cos(x) = cos(-x)

sin(x) = -sin(-x)

So the cosine function is even, and the sine function is odd.

Then the correct statements are:

  • B: "The function f(x)=sin(x) is an odd function because f(-x) = -f(x)."
  • C: "The function f(x)=cos(x) is an even function because its graph is symmetric about the origin."

If you want to learn more about odd and even functions:

https://brainly.com/question/2284364

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