Graphical Representation


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. 


Sine | Cosine | Tangent

Secant | Cosecant | Cotangent


sine graph

Image 1: Sine



Cosine graph

Image 2: Cosine



Tangent graph

Image 3: Tangent




Secant graph

Image 4: Secant



Cosecant graph

Image 5: Cosecant



Cotangent graph

Image 6: Cotangent