1. Reference Angles Find the reference angle and Find Sin, Cos and Tan using reference angles.

2. Find the reference angley
Most important idea is the triangle is always drawn to the x axis
The reference angle is the Positive angle made in the triangle closest to the origin   ’ x ’

3. Find the reference angley
Find the reference angle for 288
Draw 288 angle
Draw triangle back to x axis
Find reference angle  x ’
’ is what is left over from 360
360 – 288 = ’
= 72

4. Find the reference angley
Find the reference angle for 98
Draw 98 angle
Draw triangle back to x axis
Find reference angle  ’ x
’ is what is left over from 180
180 – 98 = ’
= 82

5. Find the reference angley
Find the reference angle for -55
Draw -55 angle
Draw triangle back to x axis
Find reference angle x ’ 
’ is what is the same as measured from zero but the positive angle
|-55| = ’
= 55

6. Find the reference angley
Find the reference angle for
Draw angle
Draw triangle back to x axis
Find reference angle  x ’
’ is what is left over from 2

7. Find the reference angley
Find the reference angle for
Draw angle
Draw triangle back to x axis
Find reference angle  ’ x
’ is the difference of  and 

8. Find the reference angley
Find the reference angle for
Draw angle
Draw triangle back to x axis
Find reference angle x ’
’ is the difference of  and - 

9. Find the Trig ratios of 315 without a calculatory
Find the reference angle for 315 
’ is what is what is left from 360
360 – 315 = ’
= 45 x ’
fourth quad Cos is positive, Sin and Tan are negative

10. Find the Trig ratios of 210 without a calculatory
Find the reference angle for 210 
’ is what is how much more than 180
210 – 180 = ’
= 30 x ’
Third quad Tan is positive, Sin and Cos are negative

11. Find the Trig ratios of without a calculatory
Find the reference angle for 
’ is what is how much more than  x ’
Third quad Tan is positive, Sin and Cos are negative

12. Find the Trig ratios of without a calculatory
Find the reference angle for
’ is what is how much less
than  x ’ 
second quad Sin is positive, Cos and Tan are negative

13. Rule for positive functionsy
All Students Take Calculus
A = all functions pos in Q I
S = Sine and csc pos in Q II
T = Tan and cot pos in Q III
C = Cos and sec pos in Q IV A S T C x

14. Now, start your homework!
Hw pg 499
problems (35-85 odds) x