Graphing Trigonometric Functions

Tutoring on Graphing Trigonometric Functions

Learning Objectives:

Understand to Graph Trigonometric Functions

Math Tutoring on Graphing Trigonometric Functions

In order to Graphing Sine functions using t-table in math tutoring, some of the characteristics of the graph are:

·       The Graph is Continuous over its Domain (-∞, ∞).

·       The Period is 2π.

·       The X-axis intercepts occur at multiplies of π and .

Some characteristics of Cosine graph are:

·       The Graph is continuous over its Domain (-∞, ∞).

·       The Period is 2π.

·       The X-axis intercepts occur at multiplies of (2n+1)(π/2) and

Some characteristics of Tangent Graph are:

·       Domain {x І x≠(2n+1)(π/2) and Range (-∞, ∞).

·       The Graph is discontinuous and has Vertical Asymptotes.

·       The X-axis intercepts occur at x=nπ.

·       The Period is π and the Graph has no Amplitude.

·       The Graph is Symmetric with respect to the origin.

We can graph the basic functions like Sine & Cosine by the help of   TI84 Calculator by plotting the data. 

 

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Hook Questions:

1.    How can we graph different Trigonometric Functions by the help of t-table?

2.    Give some characteristics of Secant, Cosecant and Cotangent Functions?

3.    By the help of TI84 Calculator, how can we graph a trigonometric functions?

 

 

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