cos180

cos180 refers to the cosine of an angle measuring 180 degrees. In trigonometry, the cosine function is a fundamental trigonometric function that relates an angle of a right-angled triangle to the ratio of the length of the adjacent side to the length of the hypotenuse. When considering the unit circle, which is a circle with a radius of one centered at the origin, the cosine of an angle corresponds to the x-coordinate of the point where the terminal side of the angle intersects the circle. For an angle of 180 degrees, the terminal side lies along the negative x-axis. Therefore, the point of intersection on the unit circle is (-1, 0). The x-coordinate of this point is -1. Consequently, cos180 is equal to -1. This value is consistent across all cycles of the cosine function, as the cosine function is periodic with a period of 360 degrees (or 2π radians). The cosine function has a maximum value of 1 and a minimum value of -1, and it reaches its minimum value at odd multiples of 180 degrees.