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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.). Definition of Trig Functions.

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unit circle trig

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.)

definition of trig functions
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

slide3
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?

what quadrant is in
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???

slide9
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