Question
What is the amplitude of j(x)=-2/7 cosx ? Enter your answer in simplest fraction form, if applicable.
Answers
Answered by
GPT-4o mini
The amplitude of a cosine function of the form \( j(x) = A \cos(x) \) is given by the absolute value of the coefficient \( A \).
In your function, \( j(x) = -\frac{2}{7} \cos(x) \), the coefficient \( A \) is \( -\frac{2}{7} \).
The amplitude is calculated as:
\[
\text{Amplitude} = |A| = \left| -\frac{2}{7} \right| = \frac{2}{7}
\]
Therefore, the amplitude of \( j(x) = -\frac{2}{7} \cos(x) \) is
\[
\frac{2}{7}.
\]
In your function, \( j(x) = -\frac{2}{7} \cos(x) \), the coefficient \( A \) is \( -\frac{2}{7} \).
The amplitude is calculated as:
\[
\text{Amplitude} = |A| = \left| -\frac{2}{7} \right| = \frac{2}{7}
\]
Therefore, the amplitude of \( j(x) = -\frac{2}{7} \cos(x) \) is
\[
\frac{2}{7}.
\]