Learning Objectives:

__Determining Trigonometric Function Values and Angles__

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 quadrant is given, then by the help of Reference Triangle and above formulae we can find the other Trigonometric Function value.

We can find the coordinates of a point on a circle with radius ‘r’ corresponding to an angle ‘θ’ by the following formula:

.

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

; ;

**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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