Trigonometry: Graphs
Here I show you how the graphs of sin θ and cos θ can be thought of as projections of the unit circle and also how to draw the graph of tan θ. I also look at some of their properties.
In this section I show you translations of the trigonometric graphs of f(x) = sin(x), cos(x) and tan(x) relative to the y-axis and then the x-axis.
Translations parallel to the y-axis:
You should already be familiar with the transformation y = f(x) ± a
Translations parallel to the x-axis:
You should already be familiar with the transformation y = f(x ± a)
In this section I show you reflections of the trigonometric graphs of f(x) = sin(x), cos(x) and tan(x).
Reflection in the x-axis:
You should already be familiar with the transformation y = – f(x)
Reflection in the y-axis:
You should already be familiar with the transformation y = f(-x)