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MATH1720HomeworkChapter3Section3

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

 1. 
Find the exact circular function value.
cos mc001-1.jpg
a.
- mc001-2.jpg
c.
mc001-3.jpg
b.
undefined
d.
- mc001-4.jpg
 

 2. 
Find the exact circular function value.
sin mc002-1.jpg
a.
mc002-2.jpg
c.
- mc002-4.jpg
b.
mc002-3.jpg
d.
- mc002-5.jpg
 

 3. 
Find the exact circular function value.
 sin mc003-1.jpg
a.
mc003-2.jpg
c.
- mc003-4.jpg
b.
- mc003-3.jpg
d.
-1
 

 4. 
Find the exact circular function value.
 cos 2ð
a.
1
c.
0
b.
-1
d.
mc004-1.jpg
 

 5. 
Find the exact circular function value.
tan mc005-1.jpg
a.
- mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 
Find the exact circular function value.
 tan mc006-1.jpg
a.
1
c.
mc006-3.jpg
b.
mc006-2.jpg
d.
-1
 

 7. 
Find the exact circular function value.
csc mc007-1.jpg
a.
- mc007-2.jpg
c.
- mc007-4.jpg
b.
- mc007-3.jpg
d.
- mc007-5.jpg
 

 8. 
Find the exact circular function value.
sec mc008-1.jpg
a.
- mc008-2.jpg
c.
mc008-3.jpg
b.
-2
d.
- mc008-4.jpg
 

 9. 
Find the exact circular function value.
cot mc009-1.jpg
a.
- mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
- mc009-5.jpg
 

 10. 
Find the exact circular function value.
cot ð
a.
-1
c.
1
b.
undefined
d.
0
 

 11. 
The figure shows an angle è in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of è.
Find cot è.
mc011-1.jpg
a.
- mc011-2.jpg
c.
- mc011-4.jpg
b.
- mc011-3.jpg
d.
mc011-5.jpg
 

 12. 
The figure shows an angle è in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of è.
 Find sin è.
mc012-1.jpg
a.
mc012-2.jpg
c.
- mc012-4.jpg
b.
mc012-3.jpg
d.
- mc012-5.jpg
 

 13. 
The figure shows an angle è in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of è.
Find cos è.
mc013-1.jpg
a.
mc013-2.jpg
c.
mc013-4.jpg
b.
- mc013-3.jpg
d.
- mc013-5.jpg
 

 14. 
The figure shows an angle è in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of è.
Find tan è.
mc014-1.jpg
a.
- mc014-2.jpg
c.
mc014-4.jpg
b.
- mc014-3.jpg
d.
- mc014-5.jpg
 

 15. 
The figure shows an angle è in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of è.
Find csc è.
mc015-1.jpg
a.
- mc015-2.jpg
c.
- mc015-4.jpg
b.
mc015-3.jpg
d.
mc015-5.jpg
 

 16. 
Use a table or a calculator to evaluate the function. Round to four decimal places.
sin  0.2300
a.
1.0270
c.
0.2341
b.
0.9737
d.
0.2280
 

 17. 
Use a table or a calculator to evaluate the function. Round to four decimal places.
sec  0.2020
a.
0.9797
c.
0.2006
b.
0.2048
d.
1.0208
 

 18. 
Use a table or a calculator to evaluate the function. Round to four decimal places.
cos  0.1209
a.
1.0074
c.
0.1206
b.
0.1215
d.
0.9927
 

 19. 
Use a table or a calculator to evaluate the function. Round to four decimal places.
tan  0.2491
a.
0.9691
c.
0.2465
b.
1.0318
d.
0.2544
 

 20. 
Use a table or a calculator to evaluate the function. Round to four decimal places.
csc  0.2475
a.
4.0820
c.
0.9695
b.
0.2450
d.
1.0314
 

 21. 
Suppose an arc of length s lies on the unit circle mc021-1.jpg + mc021-2.jpg = 1, starting at point (1, 0) and terminating at the point (x, y).  Use a calculator to find the approximate coordinates (x, y). Round coordinates to four decimal places when appropriate.

      mc021-3.jpg
s =  5.6
a.
( -0.7756,  -0.6313)
c.
( 0.7756,  -0.6313)
b.
( -0.7756,  0.6313)
d.
( -0.6313,  0.7756)
 

 22. 
For the given value of s, decide in which quadrant an angle of s radians lies by evaluating sin s and cos s.
s =  47
a.
I
c.
III
b.
II
d.
IV
 

 23. 
For the given value of s, decide in which quadrant an angle of s radians lies by evaluating sin s and cos s.
s =  66
a.
III
c.
I
b.
IV
d.
II
 

 24. 
Find the value of s in the interval [0, ð/2] that makes the statement true. Round to four decimal places.
sin s =  0.5954
a.
0.6454
c.
0.6378
b.
2.5038
d.
-0.4962
 

 25. 
Find the value of s in the interval [0, ð/2] that makes the statement true. Round to four decimal places.
cos s =  0.6784
a.
0.8252
c.
5.4580
b.
0.9668
d.
0.7456
 

 26. 
Find the value of s in the interval [0, ð/2] that makes the statement true. Round to four decimal places.
 tan s =  7.6725
a.
4.5828
c.
1.4412
b.
0.8420
d.
1.0120
 

 27. 
Find the exact value of s in the given interval that has the given circular function value.
 mc027-1.jpg; sin s = mc027-2.jpg
a.
s = mc027-3.jpg
c.
s = mc027-5.jpg
b.
s = mc027-4.jpg
d.
s = mc027-6.jpg
 

 28. 
Find the exact value of s in the given interval that has the given circular function value.
mc028-1.jpg; tan s = 1
a.
s = mc028-2.jpg
c.
s = mc028-4.jpg
b.
s = mc028-3.jpg
d.
s = mc028-5.jpg
 

 29. 
Find the exact value of s in the given interval that has the given circular function value.
 mc029-1.jpg; sin s = - mc029-2.jpg
a.
s = mc029-3.jpg
c.
s = mc029-5.jpg
b.
s = mc029-4.jpg
d.
s = mc029-6.jpg
 

 30. 
Find the exact values of s in the given interval that satisfy the given condition.
 [0, 2ð); sin s = mc030-1.jpg
a.
mc030-2.jpg, mc030-3.jpg
c.
mc030-5.jpg, mc030-6.jpg
b.
mc030-4.jpg
d.
mc030-7.jpg
 

 31. 
Find the exact values of s in the given interval that satisfy the given condition.
 [0, 2ð); mc031-1.jpg s = mc031-2.jpg
a.
mc031-3.jpg, mc031-4.jpg, mc031-5.jpg, mc031-6.jpg
c.
mc031-9.jpg, mc031-10.jpg, mc031-11.jpg, mc031-12.jpg
b.
mc031-7.jpg, mc031-8.jpg
d.
mc031-13.jpg, mc031-14.jpg
 

 32. 
The angle of elevation è of the sun in the sky at any latitude L is calculated with the formula mc032-1.jpg  ù is the number of radians that the Earth has rotated through since noon when ù = 0.  D is the declination of the sun.  Westville has latitude mc032-2.jpg  Find the angle of elevation è in degrees of the sun at 3 PM on February 29, 2012, where at that time mc032-3.jpg and mc032-4.jpg
a.
0.5°
c.
27.4°
b.
28.6°
d.
9.8°
 

 33. 
The maximum afternoon temperature in Granderson is modeled by mc033-1.jpg where t represents the maximum afternoon temperature in degrees Fahrenheit in month x, with mc033-2.jpg representing January, mc033-3.jpg representing February, and so on.  Find the maximum afternoon temperature in  June.
a.
88°F
c.
92°F
b.
87°F
d.
36°F
 

 34. 
The temperature in Verlander is modeled by mc034-1.jpg where T(x) is the temperature in degrees Fahrenheit on day x, with mc034-2.jpg representing January 1 and mc034-3.jpg representing December 31.  Find the temperature on May  20.
a.
72°F
c.
70°F
b.
64 °F
d.
83°F
 

 35. 
Let angle POQ be designated è. Angles PQR and VRQ are right angles. If è = 45°, find the exact length of OQ.

mc035-1.jpg
a.
1
c.
0
b.
mc035-2.jpg
d.
mc035-3.jpg
 

 36. 
Let angle POQ be designated è. Angles PQR and VRQ are right angles. If è = 45°, find the exact length of US.

mc036-1.jpg
a.
mc036-2.jpg
c.
0
b.
1
d.
mc036-3.jpg
 

 37. 
Let angle POQ be designated è. Angles PQR and VRQ are right angles. If è = 45°, find the exact length of OV.

mc037-1.jpg
a.
mc037-2.jpg
c.
1
b.
0
d.
mc037-3.jpg
 

 38. 
Let angle POQ be designated è. Angles PQR and VRQ are right angles. If è = 45°, find the exact length of OU.

mc038-1.jpg
a.
0
c.
mc038-2.jpg
b.
1
d.
mc038-3.jpg
 

 39. 
Let angle POQ be designated è. Angles PQR and VRQ are right angles. If è =  43°, find the length of OQ accurate to four decimal places.

mc039-1.jpg
a.
1.3673
c.
0.6820
b.
0.9325
d.
0.7314
 

 40. 
Let angle POQ be designated è. Angles PQR and VRQ are right angles. If è =   32°, find the length of PQ accurate to four decimal places.

mc040-1.jpg
a.
0.5299
c.
0.8480
b.
0.6249
d.
1.8871
 

 41. 
Let angle POQ be designated è. Angles PQR and VRQ are right angles. If è =  54°, find the length of VR accurate to four decimal places.

mc041-1.jpg
a.
1.3764
c.
0.8090
b.
0.7265
d.
0.5878
 

 42. 
Let angle POQ be designated è. Angles PQR and VRQ are right angles. If è =  38°, find the length of OV accurate to four decimal places.

mc042-1.jpg
a.
0.7880
c.
1.6243
b.
1.2690
d.
0.6157
 



 
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