Find the exact value

without a calculator :

 

1.      sin                                            16. Find the remaining trig functions if sinand Q IV

2.      tan                                           17. Find the remaining trig functions if  and sin

3.      cos                                           18. Find the remaining trig functions if and tan

4.                                              19. Is  why?

5.      sec                                         20. Find the length of the arc of a circle of radius 2 ft. and a

6.      cos                                                central angle of

7.      cot                                           21. Find the area of the sector of radius 2in. formed by an angle

8.      cos                                                 of .

9.      sin                                           22. Convert to degrees

10.  tan                                         23. Convert  to radians

11.  csc                                             24. Graph

12.  cot                                        25. Graph

13.  sin                                          26. Graph

14.                                        27. Graph

15.  cos                                        28. Graph

 

29.  The point P(2,-3) lies on the terminal side of angle β.  Find the exact value of each of the six trig  functions of β.

 

Find the exact value of each expression without a calculator:

 

30. 

31. 

32.