Download Trigonometry Chapter 2 Name___________________ Worksheet

Trigonometry
Worksheet 2.3
Chapter 2
Name___________________
Learning Target(s): find quadrant location of trig functions
Suppose that the point (x, y) is in the indicated quadrant. Decide whether the given ratio is
positive or negative.
y
x
y
1. II,
2. III,
3. III,
r
r
r
4. IV,
x
r
5. IV,
x
y
6. II,
y
x
State the quadrant in which an angle in standard position with measure  lies under the given
conditions.
7. cos  0 and sin   0
8. cos  0 and tan   0
9. cos  0 and sin   0
10. tan   0 and sin   0
11. cos  0 and sin   0
12. tan   0 and cos  0
13. sec  0 and tan   0
14. csc  0 and sec  0
15. tan   0 and csc  0
16. cot   0 and sec  0
17. cot   0 and csc  0
18. cos  0 and cot   0
Sketch each angle in standard position. Find the measure two other angles (one positive, one
negative) that are coterminal with the given angle.
19. 675o
20. 480o
Simplify all roots and rationalize all answers.
 is the measure of an angle in standard position that lies in the given quadrant. Find the
remaining five trigonometric ratios.
3
21. sin   , Quadrant II
5
2
22. tan    , Quadrant IV
3
csc  
sin  
csc  
cos  
sec  
cos  
sec  
tan  
cot  
cot  
The terminal side of an angle with measure  in standard position passes through the given point.
Sketch the reference triangle and find the six trigonometric ratios.
23. 1,  2 
sin  
csc  
cos  
sec  
tan  
cot  