Learning Objectives:

__Graphing Transformations of Trigonometric Functions __

If we consider **Transformations** of Sine and Cosine functions then it will be :

and .

Some important features of above equations are :

1. is the **Amplitude**.

2. **2π/B** is the **Period**.

3. **C** is the **Vertical Translation**.

· If **C>0**, the function is translated up **C** units.

· If **C<0**, the function is translated down units.

4. **D** is the **Horizontal Translation**.

· If **D>0**, the function is translated right **D** units.

· If **D<0**, the function is translated units to the left.

If we consider **Transformations** of Tangent and Cotangent functions then it will be :

and

Some salient features of above equations are :

1. No Amplitude, since there is no maximum and minimum values.

2. **π/B** is the Period.

**Hook Questions:**

*1. **What are the definition of Amplitude and Period?*

*2. **What are the Vertical and Horizontal Translation of Sine and Cosine functions?*

*3. **Why there is no Amplitude in Tangent function?*

* *

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