 Trigonometric Functions - Maple 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 Functions 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.         More MathApps