ABSTRACT
This chapter sketches sine, cosine and tangent waveforms, determines angles of any magnitude and understands cycle, amplitude, period, periodic time, frequency, lagging/leading angles with reference to sine and cosine waves. It performs calculations involving sinusoidal form A sin(t±a) and defines a complex wave and harmonic analysis. Trigonometric graphs are commonly used in all areas of science and engineering for modelling many different natural and mechanical phenomena such as waves, engines, acoustics, electronics, populations, UV intensity, growth of plants and animals and so on. Periodic trigonometric graphs mean that the shape repeats itself exactly after a certain amount of time. The positive and negative half cycles of each of the complex waveforms are identical in shape, and this is a feature of waveforms containing the fundamental and only odd harmonics.
