Yes, sin(π) = 0.
Explanation
The sine function, denoted as sin(x), is a trigonometric function that relates an angle to the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle. When we consider the unit circle, the sine of an angle is represented by the y-coordinate of the point on the circle corresponding to that angle.
The angle π (pi) radians, or 180 degrees, corresponds to the point (-1, 0) on the unit circle. The y-coordinate of this point is 0.
Therefore, sin(π) = 0.
Periodicity of the Sine Function
The sine function is periodic with a period of 2π. This means that sin(x + 2πn) = sin(x) for any integer n. Therefore:
sin(π) = sin(π + 2πn) = 0, where n is an integer.
