In a function such as sine or cosine, we could also have a translation of the form: \(y = \sin (x - a)^\circ\) where \(a\) is called the phase angle. This is when the graph of the function has ...

Trigonometry ... from its graph, shown below. The graphs of sine and cosine are included as well. Worth mentioning, though beyond the scope of this article, is that these functions relate to ...

but many fail to make the leap on how crucial circles are for trig functions. With static graphs and equations, it's possible to get a handle on the rules of what various functions do and mean.

This applet shows how the graphs of sin(θ) and cos(θ) follow directly from the definition of these functions. Move the slider to change the angle. Observe that after the point moves once around the ...

Save guides, add subjects and pick up where you left off with your BBC account. What do you think the graph of \(y = \cos 2x^\circ\) would look like? amplitude = 1, so the distance between the ...