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

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Defining Tangents and Cotangents

Table 12.5 provides you with a summary of how to generate tangent and cotangent values. To generate a tangent value, you divide sin θ by cos θ. To generate a secant value, you use the reciprocal of cos θ. A variety of approaches to arriving at the different values of the trigonometric functions exist. The approach given in Table 12.5 proves one of the easiest to follow.

Table 12.5. Generating Tangent and Cotangent Values
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If the value of the of cos θ in this function is 0, then the value of the tangent is undefined. When you plot tangent values on a Cartesian plane, the resulting curve rises indefinitely ...

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