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 ...

From our ship-mast example before, the relationship between an angle and its tangent can be determined from its graph, shown below. The graphs of sine and cosine are included as well.

In high school, you probably learned that trigonometric functions – like sine, cosine and tangent –can be derived, geometrically, from a circle (hence why trig functions are also known as ...

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 ...

The tangent can be determined with a collection of mathematical formulas but is most commonly determined by dividing the sine function by the cosine function.

Trigonometric functions can have several solutions. Sine, cosine and tangent all have different positive or negative values depending on what quadrant they are in.

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.

The non-linear function usually used for Sine/Cosine-to-Digital conversion is the arc tangent, which calculates the output angle directly from the conditioned sine and cosine signals (see Figure 2).