Learning Objectives:

__Determining Trigonometric Function Values and Angles in Math Tutoring__

With respect to a given point with coordinate **( x, y)**, we can find the value of Trigonometric Functions by the following formulae:

* etc. where **.*

If the value of one **Trigonometric Function Value and Angle** position in the quadrant is given, then by the help of **Reference Triangle** and above formulae we can find the other **Trigonometric Function Value **in math tutoring.

We can find the coordinates of a point on a circle with radius **‘ r’** corresponding to an angle

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By the help of following formulae we can determine **Half-Angle Identities** of Trigonometric functions:

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**Hook Questions:**

*1. **Find the value of Six Trig Functions with respect to the point (11, 23)?*

*2. **What is Reference Triangle and how it is used to determine Trigonometric Function values?*

*3. **Determine all the trig function values of the angle 30° by the Half-Angle Identities?*

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