1. 1.5 Using the Definitions of the Trigonometric Functions OBJ: Give the signs of the six trigonometric functions for a given angle OBJ: Identify the quadrant or quadrants for angles satisfying given conditions.

2. All Students Take Calculus S A Sin All T C Tan Cos y x 5 5 -5 y x 5 5

3. Identify the quadrant or quadrants for the angles satisfying the following conditions. 19)sin  >0, cos  <0 I, II I, II II, III 21)sec  <0, csc  <0 II, III II, III III, IV 23)Sin  0 III, IV III, IV I, IV

4. Identify the quadrant or quadrants for the angles satisfying the following conditions. 25)tan  <0, cot  <0 II, IV II, IV II, IV 27) sin  > 0 I, II 29) tan  > 0 I, III

5. Give the signs of the six trigonometric functions for each of the following angles. Sin|Cos|Tan|Cot|Sec|Csc 31) 74  + | + | + | + | + | + | 33) 183  – | – | + | + | – | – | 35) 302  – | + | – |

6. Give the signs of the six trigonometric functions for each of the following angles. Sin|Cos|Tan|Cot|Sec|Csc 37) 406  + | + | + | + | + | + | 39) -82  – | + | – | – | + | – | 41) -121  – | – | + | + | – | – |

7. 1.5 Using the Definitions of the Trigonometric Functions OBJ: Find the other trigonometric functions, given one of them and quadrant information

8. Find the following trigonometric function, given a trigonometric function & quadrant information EX:  cos  = -  3,  in Q II; Find sin  4 y x 5 5 -5

9. Find the following trigonometric function, given a trigonometric function & quadrant information EX:  cos  = -  3,  in Q II; Find sin  4 x 2 + y 2 = r 2 (-  3 ) 2 + y 2 = 4 2 3 + y 2 = 16 4 y 2 = 13 -  3 y =  13 sin  =  13 4 y x 5 5 -5

10. Find the following trigonometric function, given a trigonometric function & quadrant information 61) sin  = 2,  in Q II; Find cos  3 y x 5 5 -5

11. Find the following trigonometric function, given a trigonometric function & quadrant information 61) sin  = 2,  in Q II; Find cos  3 x 2 + y 2 = r 2 x 2 + 2 2 = 3 2 x 2 + 4 = 9 2 3 x 2 = 5 x = -  5 cos  = -  5 3 y x 5 5 -5

12. Find the following trigonometric function, given a trigonometric function & quadrant information 63) cot  = -1,  in Q IV; Find csc  2 y x 5 5 -5

13. Find the following trigonometric function, given a trigonometric function & quadrant information 63) cot  = -1,  in Q IV; Find csc  2 x 2 + y 2 = r 2 1 2 + (-2) 2 = r 2 1 + 4 = r 2 5 = r 2 1  5 = r 2 csc  =  5 -2 y x 5 5 -5

14. Find the following trigonometric function, given a trigonometric function & quadrant information 65) tan  =  7,  in Q III; Find sec  3 y x 5 5 -5

15. Find the following trigonometric function, given a trigonometric function & quadrant information 65) tan  =  7,  in Q III; Find sec  3 x 2 + y 2 = r 2 (-3) 2 + (-  7) 2 = r 2 9 + 7 = r 2 -3 16 = r 2 4 = r -  7 sec  = 4 -3 y x 5 5 -5

16. Find all the other trigonometric functions the following angle. 69) cos  = - 3,  in Q III 5 y x 5 5 -5

17. Find all the other trigonometric functions the following angle. 69) cos  = - 3,  in Q III 5 x 2 + y 2 = r 2 (-3 ) 2 + y 2 = 5 2 y = - 4 -3 5 y x 5 5 -5

18. Find all the other trigonometric functions the following angle. 73) csc  = 2,  in Q II y x 5 5 -5

19. Find all the other trigonometric functions the following angle. 73) csc  = 2,  in Q II x 2 + y 2 = r 2 x 2 + 1 2 = 2 2 x 2 + 1 = 4 x 2 = 31 2 x = -  3 y x 5 5 -5

20. Find all the other trigonometric functions the following angle. 77) sin  = -5, cos  > 0 6 y x 5 5 -5

21. Find all the other trigonometric functions the following angle. 77) sin  = -5, cos  > 0 6 x 2 + y 2 = r 2 x 2 + (-5) 2 = 6 2 x 2 + 25 = 36 x 2 = 11 x =  11 6 -5 y x 5 5 -5

22. Find all the other trigonometric functions the following angle. 79) cot  =  3, sin  > 0 8 y x 5 5 -5

23. Find all the other trigonometric functions the following angle. 79) cot  =  3, sin  > 0 8 x 2 + y 2 = r 2 (  3) 2 + 8 2 = r 2 3 + 64 = r 2 67 = r 2  67 = r 8  3 y x 5 5 -5