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Math Analysis Honors – Worksheet 79
Using one Trig Ratio to Find Others
2
and cot   0 .
3
1
sin   and tan   0 .
4
2
sin    and cos  0 .
5
3
cot   and sec  0 .
7
4
tan    and sin   0 .
3
3
sin   and cot   0.
4
1. Find sin  and tan  if cos 
2. Find cos and cot  if
3. Find tan  and sec if
4. Find sin  and cos if
5. Find csc and cot  if
6. Find sec and tan  if
The following problems involve using special angles.
2
7. Find sec and tan  if sin  
and cot   0.
2
8. Find cos and sin if tan  1 and csc  0.
1
9. Find csc and cot if cos   and sin  0.
2
10. Find sin and cot if sec  2 and tan  0.
3
and sec  0.
2
2
12. Find sin and tan if cos  
and cot   0.
2
11. Find cos and cot if sin   
For problems #13-18, find the exact value(s) of  in radians, given that 0    2 .
1
2
14. cos 
13. sin   
2
2
16. sin   0
3
15. cos 
2
18. sin   1
17. tan    3