Understanding the Property of the Sine Function: sin(-x) = -sin(x)

sin(-x)

The sine function, denoted as sin(x), is a trigonometric function that gives the ratio of the length of the side opposite to an angle in a right triangle to the length of the hypotenuse

The sine function, denoted as sin(x), is a trigonometric function that gives the ratio of the length of the side opposite to an angle in a right triangle to the length of the hypotenuse. The value of sin(x) can vary between -1 and 1.

Now, let’s consider sin(-x). When you see a negative sign in front of x, it indicates taking the negative value of x.

In trigonometry, the sine function has a property called odd function. An odd function is a function that satisfies f(-x) = -f(x) for all x in its domain.

Applying this property to sin(x), we have sin(-x) = -sin(x) for any real value of x. This means that the sine of a negative angle is equal to the negative of the sine of the corresponding positive angle.

For example, if sin(30°) = 0.5, then sin(-30°) = -0.5.

Therefore, sin(-x) is equal to the negative of sin(x).

More Answers:

Understanding the Double Angle Identity for Cosine: Exploring the Relationship between cos(2x), cos(x), and sin(x)
Understanding the Double Angle Formula for Cosine and Solving cos^2x = cos(2x)
The Double Angle Formula for Sine: Discover the Formula to Calculate sin(2x) Using sin(x)

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