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 * **Aim: How do we define the trigonometric ratios for angles of any size?**

Try this as a review from yesterday's work. Write in terms of sine and cosine and write in simplest form:

sin x (csc x - sin x)

Today we will sketch angles on the Unit Circle, find reference angles, and use what we know about Quadrant I angles to solve for other quadrants. You may want to refer to the videos on page 3 to refresh on how to find reference angles and how to remember them.

[|Video 1]

This video show you how to do this with radians. It is easier to convert to degrees first. You are able to convert everything to degrees if you would like.

[|Video 2]


 * **Classwork:** Find the exact value for each:

1. sin (pi/3) 2. cot (2pi/3) 3. cos 3pi

4. sec 180 5. cos (-pi/6) 6. tan (-13pi/2)


 * **Homework:** Complete numbers 3-43 odd




 * **Answers**
 * [[file:jerryfrance/A-8.5_Exact_Trig.JPG|A-8.5_Exact_Trig.JPG]]**


 * **Journal entry:** Explain the advantage of using the unit circle to define the trigonometric ratio?