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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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Rotation

The trigonometric ratios all translate into functions that can generate distinct patterns when applied to a Cartesian plane. As you increase the values you introduce to the functions, the patterns change in restricted, predictable ways. The most ready way to generate such patterns involves translating the three sides of the standard triangle (opposite, adjacent, and hypotenuse) so that you can understand them in relation to the coordinates you plot on the Cartesian plane (x, y). Work earlier in this chapter anticipates this activity. Table 12.4 shows you how the sides of a triangle relate to the values you generated using values typical of your work with the Cartesian plane. In each instance, you work with a standard triangle.

Table ...

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