Trigonometric Functions - Maple Programming Help

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Trigonometric Functions

Main Concept

There are a total of three primary trigonometric functions and three secondary trigonometric functions.

 Primary Trigonometric Function        s Secondary Trigonometric Functions sine cosecant cosine secant tangent cotangent

Summary of the Trigonometric Function Properties

 Name Notation Ratio Period Asymptotes Sine sin(θ) $\frac{\mathrm{opposite}}{\mathrm{hypotenuse}}$ 2π or 360 degrees none Cosine cos(θ) $\frac{\mathrm{adjacent}}{\mathrm{hypotenuse}}$ 2π or 360 degrees none Tangent tan(θ) $\frac{\mathrm{opposite}}{\mathrm{adjacent}}$ π or 180 degrees $\frac{\mathrm{π}}{2}+k\cdot \mathrm{π},$ where k is an integer Cosecant csc(θ) $\frac{\mathrm{hypotenuse}}{\mathrm{opposite}}$ 2π or 360 degrees $k\cdot \mathrm{π},$ where k is an integer Secant sec(θ) $\frac{\mathrm{hypotenuse}}{\mathrm{adjacent}}$ 2π or 360 degrees $\frac{\mathrm{π}}{2}+k\cdot \mathrm{π},$ where k is an integer Cotangent cot(θ) $\frac{\mathrm{adjacent}}{\mathrm{opposite}}$ π or 180 degrees $k\cdot \mathrm{π},$ where k is an integer

Explore the properties of the Trigonometric Functions. Pay attention to the critical points, asymptote, and period of each function.

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