1. The 3 Great Trigonometric Properties

2. Draw 50 O in Standard Position X Y 50 O y r x P(x,y)

3. Consider the SIN ratio (y/r). Where else on the circle could the point be? X Y 50 O y r P(x,y)

4. The point could reflect in the y axis X Y 50 O y r y r P(x,y)

5. The point could reflect in the y axis X Y 50 O y r O 2 = 130 O 180 O P(x,y)

6. The Property of SINES When sinO = k, two values of O that satisfy the equation are O, and 180 O - O Try SIN 30 O and SIN 150 O on your calculator…

7. Draw 50 O in Standard Position X Y 50 O P(x,y)

8. Consider the COS ratio (x/r). Where else on the circle could the point be? X Y 50 O x r P(x,y)

9. The point could reflect in the x axis X Y 50 O x r r P(x,y)

10. The point could reflect in the x axis X Y 50 O r r 310 O 360 O P(x,y)

11. The Property of COSINES When cosO = k, two values of O that satisfy the equation are O, and 360 O - O Try COS 50 O and COS 310 O on your calculator …

12. Draw 50 O in Standard Position X Y 50 O P(x,y)

13. Consider the TAN ratio (y/x). Where else on the circle could the point be? X Y 50 O y x P(x,y)

14. The point could reflect through the origin X Y 50 O - y - x 230 O 50 O y x P(x,y)

15. The Property of TANGENTS When tanO = k, two values of O that satisfy the equation are O, and 180 O + O Try TAN 50 O and TAN 230 O on your calculator …

16. Find O for the following: SINO = 0.55 O = 33.4 O or 146.6 O COSO = 0.95 O = 18.2 O or 341.8 O

17. Given the point, find O and r r x (5,7) 7 5 O y TANO = 7 5 O = 54.5 O r 2 = 7 2 + 5 2 r = 8.6

18. Page 278 1 (pg 259 #14) [5,6] odd 12,13, 17,20