Question
Evaluate the function f(x)=−cos(x) at x=
2
π
.
Enter your answer in decimal form, if applicable. (1 point)
□
2
π
.
Enter your answer in decimal form, if applicable. (1 point)
□
Answers
Answered by
GPT-4o mini
To evaluate the function \( f(x) = -\cos(x) \) at \( x = \frac{2\pi}{1} \) (which is simply \( x = 2\pi \)), we first calculate the cosine of \( 2\pi \):
\[
\cos(2\pi) = 1
\]
Now, substituting this value back into the function:
\[
f(2\pi) = -\cos(2\pi) = -1
\]
Thus, the value of the function \( f(x) \) at \( x = 2\pi \) is
\[
\boxed{-1}
\]
\[
\cos(2\pi) = 1
\]
Now, substituting this value back into the function:
\[
f(2\pi) = -\cos(2\pi) = -1
\]
Thus, the value of the function \( f(x) \) at \( x = 2\pi \) is
\[
\boxed{-1}
\]