1. Unit Circle Trig TS: Making decisions after reflection and review
Warm Up:
Test your unit circle knowledge. You have 3 minutes.
(This is a generous amount of time for something that is supposed to be memorized.)

2. Definition of Trig Functions
Let t be a standard position angle. If (x,y) is a point r units from the origin.
sin t = csc t =
cos t = sec t =
tan t = cot t = y
(x,y) r x

3. The point (3, -9) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
What is the measure of the angle in degrees?

4. What Quadrant is θ in? sin θ < 0 and cos θ < 0
sec θ > 0 and cot θ < 0
tan θ > 0 and csc θ < 0
Why is it important to know what quadrant the angle is in anyway???

5. Find all six trig functions for the standard position angle t =

6. Find all six trig functions for the standard position angle t =

7. Trig functions are Periodic

8. Evaluate each using the period as an aid.

9. The monthly normal termperature T (in °F) for Santa Fe, NM is given by
Try using your unit circle trig skills to answer the below word problem.
The monthly normal termperature T (in °F) for Santa Fe, NM is given by
where t is the time in months, with t=1 corresponding to January. Find the monthly normal temp for
a) Jan b) July c) Dec
a)29°F b)70°F c)31.746°F