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MATH1720HomeworkChapter1Section3

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Sketch an angle è in standard position such that è has the least positive measure and the given point is on the terminal side of è.
 (3, 6)
      mc001-1.jpg
a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 
Sketch an angle è in standard position such that è has the least positive measure and the given point is on the terminal side of è.
 (-2, 5)
      mc002-1.jpg
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 
Sketch an angle è in standard position such that è has the least positive measure and the given point is on the terminal side of è.
 (-5, -3)
      mc003-1.jpg
a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 

 4. 
Sketch an angle è in standard position such that è has the least positive measure and the given point is on the terminal side of è.
 (4, -2)
      mc004-1.jpg
a.
mc004-2.jpg
c.
mc004-4.jpg
b.
mc004-3.jpg
d.
mc004-5.jpg
 

 5. 
Sketch an angle è in standard position such that è has the least positive measure and the given point is on the terminal side of è.
 (0, -5)
      mc005-1.jpg
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 
Suppose that è is in standard position and the given point is on the terminal side of è. Give the exact value of the indicated trig function for è.
 ( 12,  16);  Find sin è.
a.
mc006-1.jpg
c.
mc006-3.jpg
b.
mc006-2.jpg
d.
mc006-4.jpg
 

 7. 
Suppose that è is in standard position and the given point is on the terminal side of è. Give the exact value of the indicated trig function for è.
 ( 15,  20);  Find cos è.
a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
mc007-4.jpg
 

 8. 
Suppose that è is in standard position and the given point is on the terminal side of è. Give the exact value of the indicated trig function for è.
 ( 5,  4);  Find tan è.
a.
mc008-1.jpg
c.
mc008-3.jpg
b.
mc008-2.jpg
d.
mc008-4.jpg
 

 9. 
An equation of the terminal side of an angle è in standard position is given along with a restriction on x.  Find the indicated trigonometric function value of è. Do not use a calculator.
 mc009-1.jpg,  x = 0;    Find sin è.
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
9
 

 10. 
An equation of the terminal side of an angle è in standard position is given along with a restriction on x.  Find the indicated trigonometric function value of è. Do not use a calculator.
mc010-1.jpg,  x = 0;    Find tan è.
a.
3
c.
mc010-3.jpg
b.
mc010-2.jpg
d.
mc010-4.jpg
 

 11. 
An equation of the terminal side of an angle è in standard position is given along with a restriction on x.  Find the indicated trigonometric function value of è. Do not use a calculator.
 2x +  7y = 0,  x = 0;    Find cot è.
a.
mc011-1.jpg
c.
mc011-3.jpg
b.
- mc011-2.jpg
d.
- mc011-4.jpg
 

 12. 
An equation of the terminal side of an angle è in standard position is given along with a restriction on x.  Find the indicated trigonometric function value of è. Do not use a calculator.
 2x +  3y = 0,  x = 0;    Find csc è.
a.
mc012-1.jpg
c.
mc012-3.jpg
b.
- mc012-2.jpg
d.
- mc012-4.jpg
 

 13. 
An equation of the terminal side of an angle è in standard position is given along with a restriction on x.  Find the indicated trigonometric function value of è. Do not use a calculator.
 -2x - 5y = 0,  x = 0;    Find sec è.
a.
- mc013-1.jpg
c.
- mc013-3.jpg
b.
- mc013-2.jpg
d.
- mc013-4.jpg
 

 14. 
An equation of the terminal side of an angle è in standard position is given along with a restriction on x.  Find the indicated trigonometric function value of è. Do not use a calculator.
 -8x - 5y = 0,  x = 0;    Find cos è.
a.
mc014-1.jpg
c.
- mc014-3.jpg
b.
mc014-2.jpg
d.
- mc014-4.jpg
 

 15. 
Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0, Tmax=360, Tstep=1, Xmin= -1.8, Xmax=1.8, Xscl=1, Ymin= -1.2, Ymax=1.2, Yscl=1. Set the functions to X1T=cos T, Y1T=sin T. Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle.
For what angle T is cos T ˜  0.866? (Assume 0° = T = 90°.)
a.
28.65°
c.
60°
b.
30°
d.
0.866°
 

 16. 
Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0, Tmax=360, Tstep=1, Xmin= -1.8, Xmax=1.8, Xscl=1, Ymin= -1.2, Ymax=1.2, Yscl=1. Set the functions to X1T=cos T, Y1T=sin T. Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle.
For what angle T is cos T ˜  0.766? (Assume 0° = T = 90°.)
a.
50°
c.
36.832°
b.
40°
d.
0.766°
 

 17. 
Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0, Tmax=360, Tstep=1, Xmin= -1.8, Xmax=1.8, Xscl=1, Ymin= -1.2, Ymax=1.2, Yscl=1. Set the functions to X1T=cos T, Y1T=sin T. Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle.
For what angle T is sin T ˜  0.574? (Assume 0° = T = 90°.)
a.
46.917°
c.
55°
b.
0.574°
d.
35°
 

 18. 
sec(-180°)
a.
1
c.
0
b.
-1
d.
Undefined
 

 19. 
cot 450°
a.
0
c.
1
b.
Undefined
d.
mc019-1.jpg
 

 20. 
cos(-90°)
a.
0
c.
mc020-1.jpg
b.
-1
d.
Undefined
 

 21. 
sin(-540)°
a.
-1
c.
0
b.
Undefined
d.
1
 

 22. 
If n is an integer, n · 180° represents an integer multiple of 180°, and mc022-1.jpg represents an odd integer multiple of 90°. Decide whether the expression is equal to 0, 1, -1, or is undefined.
tan(n · 180°)
a.
1
c.
-1
b.
0
d.
Undefined
 

 23. 
If n is an integer, n · 180° represents an integer multiple of 180°, and mc023-1.jpg represents an odd integer multiple of 90°. Decide whether the expression is equal to 0, 1, -1, or is undefined.
cot(n · 180°)
a.
0
c.
-1
b.
Undefined
d.
1
 

 24. 
If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
 II, mc024-1.jpg
a.
Negative
b.
Positive
 

 25. 
If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
 III, mc025-1.jpg
a.
Negative
b.
Positive
 

 26. 
If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
IV, mc026-1.jpg
a.
Positive
b.
Negative
 

 27. 
If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
 II, mc027-1.jpg
a.
Negative
b.
Positive
 

 28. 
If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
 III, mc028-1.jpg
a.
Negative
b.
Positive
 

 29. 
sin2  360° + cos2  360°
a.
1
c.
mc029-1.jpg
b.
2
d.
mc029-2.jpg
 

 30. 
cot2 90° - sec 180°
a.
1
c.
-1
b.
2
d.
0
 

 31. 
cos  0° -  3 sin 90°
a.
-3
c.
-2
b.
0
d.
1
 

 32. 
8 tan  0° +  3 csc 270°
a.
Undefined
c.
-3
b.
3
d.
0
 



 
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