I think that I have got the hang of these problems, but i would greatly appreciate it if someone would take a look at them

2. what are the instructions for 14 and 15?

17 and 18 are incomplete. you found the complimentary angle, you must find the supplementary one also

40, 69, 71 and 72 are incorrect

the rest are fine (except, possibly, 14 and 15, i don't know what you're supposed to be doing on those)

for help with 69, 71, 72, see here, there is even a calculator at the bottom where you can check your answers

3. 14 and 15 says: Determine two coterminal angles in radian measure (one positive and one negative) for each angle

4. I just checked num 69 in the back of the book that I am using and it has the same answer

5. For number 40, I get -19 (DNE) and the supplement: 71

6. Originally Posted by aikenfan
I just checked num 69 in the back of the book that I am using and it has the same answer
are we seeing the same thing? you are perhaps mixing up the ending with #70, or the book has a typo. -125.007 is not correct. look at #70, how is it possible that 25'' give the same decimal as 36''? doesn't that seem odd to you?

Originally Posted by aikenfan
For number 40, I get -19 (DNE) and the supplement: 71
yes
Originally Posted by aikenfan
14 and 15 says: Determine two coterminal angles in radian measure (one positive and one negative) for each angle
those are correct

7. The answer in the back says -125.01 degrees...when i type this into my calculator i get an error message
on 71: the answer is 280 degrees 36'
72: -116 degrees 12'

8. Originally Posted by aikenfan
The answer in the back says -125.01 degrees...when i type this into my calculator i get an error message
on 71: the answer is 280 degrees 36'
those are correct. the problem is that, i believe, in the degree seconds minutes notation, the degrees must be positive, or something like that. maybe you can try making the angle positive to see if your calculator likes that

72: -116 degrees 12'
this is still wrong, try again

9. 115 degrees 47' 50"

10. Originally Posted by aikenfan
115 degrees 47' 50"
i believe it is $-115^o47'60''$

11. I don't really understand 17 and 18...maybe someone might be able to help me? I read the chapter in the book, but i do not understand it

12. Originally Posted by aikenfan
I don't really understand 17 and 18...maybe someone might be able to help me? I read the chapter in the book, but i do not understand it
you did it correctly so far, you just left it incomplete. you only found the complementary angles, you must find the supplementary also. it's the same procedure, except now you equate it to pi not pi/2

13. For 17 Supplementary I get:
2 pi/ 3
and 18 I get:
pi/4

14. Originally Posted by aikenfan
For 17 Supplementary I get:
2 pi/ 3
and 18 I get:
pi/4
correct

15. Thank you! I really understand this now....I appreciate your help very much!