The sine of something is generally calculated in radians, a means of measuring angles determined by the measure of the arc of a circle cut by such an angle, divided by the length of the radius of the circle, so that a full 360° angle would be 2π radians, 180° would be π, 90° would be radians, and so on.
The basic sine graph, , where x is in radians, is as follows:
That would be a full period of the graph - as 2π radians is equivalent to one circle. The graph continues in that pattern.
Because of the known relationship of the sides of a right triangle with the angles 30°, 45°, or 60°, certain values of sine are calculable using exact values in the form of square roots and fractions involving square roots. These include:
Relationship to cosine and cosecant
A mathematical identity involving sine is: