Learning Objectives:

__Math Tutoring on Trigonometric Functions Using Right Triangles__

**Congruent Triangles** had the same size and the same shape, therefore, the corresponding sides had the same length and the corresponding angles are congruent.

**Similar Triangles** have the exact same shape but not necessarily the same size. So the conditions for similarity are:

1. Corresponding angles must have the same measure.

2. Corresponding sides must be proportional. (That is the ratios of their corresponding sides must be equal.)

We can find the height of a tree or a building using the concept of similar triangle in math tutoring.

There are six **Trigonometric Functions** and they are **sine, cosine, tangent, cosecant, secant** and **cotangent** functions. Usually, they are abbreviated as **sin, cos, tan, csc, sec** and **cot**.

The trigonometric functions can be defined in terms of particular ratios of sides of right triangles. So we can determine the value of a specific side of a right triangle using trigonometric functions.

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**Hook Questions:**

*1. **What are Congruent and Similar Triangles?*

*2. **What are the conditions for similarity?*

*3. **How can we determine the height of a building using similar triangle?*

*4. **How many trigonometric functions are there and how it is defined?*

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