What is the amplitude of $$ y=\sin (x) ? $$

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UpStudy AI · Accepted Answer

The amplitude of a sine function, such as $$ y = \sin(x) $$, is the maximum value that the function reaches from its midline (which is typically the x-axis for the sine function).

For the function $$ y = \sin(x) $$:
- The sine function oscillates between -1 and 1.
- Therefore, the amplitude $$ A $$ is calculated as:

$$
A = \frac{\text{Maximum value} - \text{Minimum value}}{2}
$$

In this case:
- Maximum value = 1
- Minimum value = -1

Now, substituting these values into the amplitude formula:

$$
A = \frac{1 - (-1)}{2} = \frac{1 + 1}{2} = \frac{2}{2} = 1
$$

Thus, the amplitude of $$ y = \sin(x) $$ is $$ 1 $$.
The amplitude of $$ y = \sin(x) $$ is 1.

What is the amplitude of \( y=\sin (x) ? \)

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