Understanding the Cosine Function | Exploring cos(-x) and its Relationship to cos(x) in Mathematics

cos(-x)

In mathematics, the cosine function is a trigonometric function that relates the angle measurement to the ratio of the length of the adjacent side and the hypotenuse in a right triangle

In mathematics, the cosine function is a trigonometric function that relates the angle measurement to the ratio of the length of the adjacent side and the hypotenuse in a right triangle. The cosine of an angle is denoted as cos(x), where x represents the angle.

When considering the expression cos(-x), the negative sign in front of x indicates that the angle is measured in the opposite direction or is being reflected across the x-axis. This means that the angle is equivalent to the angle formed by the positive x-axis and the line obtained by rotating the positive x-axis by an angle of “x” in the clockwise direction.

Since the cosine function is an even function, meaning that cos(x) = cos(-x) for any angle x, we can conclude that cos(-x) is identical to cos(x). Therefore, the value of cos(-x) is the same as the value of cos(x) for any angle x.

More Answers:
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