## sin(-x)

### The sine function, denoted by sin(x), is a trigonometric function that maps the input angle x to the ratio of the length of the side opposite to the angle in a right triangle, to the length of the hypotenuse

The sine function, denoted by sin(x), is a trigonometric function that maps the input angle x to the ratio of the length of the side opposite to the angle in a right triangle, to the length of the hypotenuse.

Now, let’s examine sin(-x). The negative sign in front of x indicates that we need to consider the angle on the opposite side of the origin. In other words, instead of measuring the angle counterclockwise from the positive x-axis, we measure it clockwise from the positive x-axis.

Since in a unit circle, the reference angle and its negative have the same sine value, we can say that sin(-x) is equal to -sin(x). This means that the sine function of a negative angle is the negative of the sine function of the positive angle.

To summarize:

sin(-x) = -sin(x)

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