The six trigonometric functions are represented graphically in the following images. The amplitude is on the y axis and the angle is on the x axis, in degrees. Often the angle is also represented in radians.
We have to keep in mind that these graphs are independent of time. The only independent variable is angle. They are actually a “photograph” in time of the known harmonic variable magnitudes.
For better visualization, two periods of each function are presented.
Image 1: Sine
Image 2: Cosine
Image 3: Tangent
Image 4: Secant
Image 5: Cosecant
Image 6: Cotangent