Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

y = sin (x a) ∘ where a is called the phase angle. This is when the graph of the function has been shifted to the left or right by a degrees.

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 ...

Well, there's a GIF for that: Wikimedia Next, think about the relationship between sine, cosine and the circle. Here's an illustration of the fundamental relationship between the three.

From the graph of the function, we can see that we should be expecting 2 solutions: 1 solution between 0 ∘ and 90 ∘ and the other between 90 ∘ and 180 ∘. sin x ∘ = 3 4 ...

In this animation, we see what the “polygonal sine” looks like for [the square, the hexagon, the triangle and the heart. The polygon is such that the inscribed circle has radius 1.