A graph of the sine wave function y = -1/2(sinx) is shown on a coordinate plane in the image below.
In Mathematics and Geometry, a sine wave function is a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.
Mathematically, a sine wave function can be represented by this mathematical equation:
y = asin(bx)
Where:
- a represents the amplitude of a sine wave.
- b represents the periodicity.
Therefore, the required sine wave function is given by;
y = asin(bx)
y = -1/2(sinx)