👉 Sine, or sine function, is a fundamental trigonometric function that describes the relationship between an angle and the ratios of the sides of a right-angled triangle. It is defined as the ratio of the length of the opposite side to the hypotenuse (the side opposite the right angle) for an angle in a right triangle. Mathematically, \(\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\). The sine function ranges from -1 to 1, with \(\sin(90^\circ) = 1\) and \(\sin(0^\circ) = 0\), and it is periodic with a period of \(360^\circ\) or \(2\pi\) radians, meaning it repeats every full rotation. This function is crucial in modeling periodic phenomena in physics, engineering, and other sciences.
