Learning Objectives:

__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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