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MATH1720HomeworkChapter6Section1

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

 1. 
y = sin-1 mc001-1.jpg
a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 
y =  tan-1 ( -1)
a.
mc002-1.jpg
c.
mc002-3.jpg
b.
mc002-2.jpg
d.
mc002-4.jpg
 

 3. 
y = arctan mc003-1.jpg
a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 

 4. 
y = arcsin mc004-1.jpg
a.
mc004-2.jpg
c.
mc004-4.jpg
b.
- mc004-3.jpg
d.
ð
 

 5. 
y = mc005-1.jpg( -1)
a.
2ð
c.
ð
b.
- mc005-2.jpg
d.
mc005-3.jpg
 

 6. 
Give the degree measure of è.
 è =  sin-1 mc006-1.jpg
a.
135°
c.
120°
b.
60°
d.
45°
 

 7. 
Give the degree measure of è.
è =  csc-1 ( 2)
a.
60°
c.
30°
b.
-30°
d.
420°
 

 8. 
Give the degree measure of è.
 è = arctan mc008-1.jpg
a.
-30°
c.
150°
b.
30°
d.
330°
 

 9. 
Give the degree measure of è.
è = arcsin mc009-1.jpg
a.
30°
c.
-30°
b.
315°
d.
300°
 

 10. 
Give the degree measure of è.
è = mc010-1.jpg mc010-2.jpg
a.
300°
c.
210°
b.
30°
d.
150°
 

 11. 
Use a calculator to give the value to the nearest degree.
è = sin-1(0.2079)
a.
14°
c.
12°
b.
10°
d.
15°
 

 12. 
Use a calculator to give the value to the nearest degree.
 è = tan-1(0.5774)
a.
32°
c.
30°
b.
60°
d.
27°
 

 13. 
Use a calculator to give the value to the nearest degree.
 è = sin-1(-0.4848)
a.
-28°
c.
151°
b.
-31°
d.
-29°
 

 14. 
Use a calculator to give the value to the nearest degree.
è = sin-1(0.6561)
a.
-41°
c.
44°
b.
39°
d.
41°
 

 15. 
Use a calculator to give the value to the nearest degree.
è = tan-1(2.2460)
a.
69°
c.
66°
b.
62°
d.
114°
 

 16. 
Use a calculator to give the real number value. Round the answer to 7 decimal places.
y = sin-1(0.2079)
a.
0.1746032
c.
0.2619048
b.
0.2094276
d.
0.2444444
 

 17. 
Use a calculator to give the real number value. Round the answer to 7 decimal places.
y = tan-1(0.5774)
a.
0.5236361
c.
0.5587302
b.
1.0476200
d.
0.4714286
 

 18. 
Use a calculator to give the real number value. Round the answer to 7 decimal places.
y = sin-1(-0.4848)
a.
-0.4888889
c.
-0.5412698
b.
2.6365103
d.
-0.5061345
 

 19. 
Use a calculator to give the real number value. Round the answer to 7 decimal places.
y = sin-1(0.6561)
a.
0.7156393
c.
0.6809524
b.
0.5806515
d.
-0.7158730
 

 20. 
Use a calculator to give the real number value. Round the answer to 7 decimal places.
y = arcsec (2.8842912)
a.
6.9714051
c.
1.5139822
b.
1.2167397
d.
0.3540566
 

 21. 
Use a calculator to find the value. Give answers as real numbers and round to 4 decimal places, if necessary.
sin (cos-1 0.8324)
a.
0.6324
c.
0.1389
b.
0.0175
d.
0.5542
 

 22. 
Use a calculator to find the value. Give answers as real numbers and round to 4 decimal places, if necessary.
 sin (arctan 2)
a.
-0.8172
c.
0
b.
Undefined
d.
0.8944
 

 23. 
Use a calculator to find the value. Give answers as real numbers and round to 4 decimal places, if necessary.
cot (-arcsin ð)
a.
0
c.
-0.0009
b.
-1094.771
d.
Undefined
 

 24. 
Graph the inverse circular function.
 y = mc024-1.jpg x
mc024-2.jpg
a.
mc024-3.jpg
c.
mc024-5.jpg
b.
mc024-4.jpg
d.
mc024-6.jpg
 

 25. 
Graph the inverse circular function.
y = mc025-1.jpg x
mc025-2.jpg
a.
mc025-3.jpg
c.
mc025-5.jpg
b.
mc025-4.jpg
d.
mc025-6.jpg
 

 26. 
Graph the inverse circular function.
 y = arcsec  3x
mc026-1.jpg
a.
mc026-2.jpg
c.
mc026-4.jpg
b.
mc026-3.jpg
d.
mc026-5.jpg
 

 27. 
Give the exact value of the expression.
csc mc027-1.jpg
a.
mc027-2.jpg
c.
mc027-4.jpg
b.
mc027-3.jpg
d.
mc027-5.jpg
 

 28. 
Give the exact value of the expression.
cos mc028-1.jpg
a.
mc028-2.jpg
c.
mc028-4.jpg
b.
mc028-3.jpg
d.
mc028-5.jpg
 

 29. 
Give the exact value of the expression.
csc(mc029-1.jpg  mc029-2.jpg)
a.
- mc029-3.jpg
c.
mc029-5.jpg
b.
mc029-4.jpg
d.
mc029-6.jpg
 

 30. 
Give the exact value of the expression.
cos mc030-1.jpg
a.
mc030-2.jpg
c.
mc030-4.jpg
b.
mc030-3.jpg
d.
mc030-5.jpg
 

 31. 
Write the following as an algebraic expression in u, u > 0.
cos(arctan u)
a.
mc031-1.jpg
c.
umc031-3.jpg
b.
mc031-2.jpg
d.
mc031-4.jpg
 

 32. 
Write the following as an algebraic expression in u, u > 0.
sin mc032-1.jpg
a.
mc032-2.jpg
c.
umc032-4.jpg
b.
mc032-3.jpg
d.
mc032-5.jpg
 

 33. 
Write the following as an algebraic expression in u, u > 0.
tan mc033-1.jpg
a.
mc033-2.jpg
c.
mc033-4.jpg
b.
mc033-3.jpg
d.
u2mc033-5.jpg
 

 34. 
Write the following as an algebraic expression in u, u > 0.
 sin mc034-1.jpg
a.
mc034-2.jpg
c.
umc034-4.jpg
b.
mc034-3.jpg
d.
mc034-5.jpg
 

 35. 
A painting 1 meter high and 3 meters from the floor will cut off an angle è to an observer, where mc035-1.jpg assuming that the observer is x feet from the wall where the painting is displayed and that the eyes of the observer are  1.6 meters above the ground (see the figure). Find the value of è for mc035-2.jpg Round to the nearest tenth of a degree.
mc035-3.jpg
a.
15.8°
c.
33.1°
b.
13.3°
d.
18.3°
 

 36. 
True or false? The statement sin(sin-1 x) = x for all real numbers in the interval  0 = x = ð.
a.
True
b.
False
 

 37. 
True or false? The statement cos(cos-1 x) = x for all real numbers in the interval  -8 = x = 8.
a.
True
b.
False
 

 38. 
True or false? The statement tan(tan-1 x) = x for all real numbers in the interval  0 = x = ð.
a.
True
b.
False
 



 
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