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MATH1720HomeworkChapter2Section1

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

 1. 
mc001-1.jpg

Find sin A.
a.
sin A = mc001-2.jpg
c.
sin A = mc001-4.jpg
b.
sin A = mc001-3.jpg
d.
sin A = mc001-5.jpg
 

 2. 
mc002-1.jpg

Find tan A.
a.
tan A = mc002-2.jpg
c.
tan A = mc002-4.jpg
b.
tan A = mc002-3.jpg
d.
tan A = mc002-5.jpg
 

 3. 
mc003-1.jpg

Find cos B.
a.
cos B = mc003-2.jpg
c.
cos B = mc003-4.jpg
b.
cos B = mc003-3.jpg
d.
cos B = mc003-5.jpg
 

 4. 
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.
Find sin A when b =  33 and c =  55
a.
mc004-1.jpg
c.
mc004-3.jpg
b.
mc004-2.jpg
d.
mc004-4.jpg
 

 5. 
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.
Find csc A when b =  24 and c =  51
a.
mc005-1.jpg
c.
mc005-3.jpg
b.
mc005-2.jpg
d.
mc005-4.jpg
 

 6. 
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.
Find tan B when a =  48  and c =  50.
a.
mc006-1.jpg
c.
mc006-3.jpg
b.
mc006-2.jpg
d.
mc006-4.jpg
 

 7. 
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.
Find sin A when a =  4 and b =  5.
a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
mc007-4.jpg
 

 8. 
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.
Find cos A when a =  5 and b =  3.
a.
mc008-1.jpg
c.
mc008-3.jpg
b.
mc008-2.jpg
d.
mc008-4.jpg
 

 9. 
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.
 Find cos A when a = mc009-1.jpg and c =  6.
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 

 10. 
Without using a calculator, give the exact trigonometric function value with rational denominator.
sin 30°
a.
mc010-1.jpg
c.
mc010-3.jpg
b.
mc010-2.jpg
d.
mc010-4.jpg
 

 11. 
Without using a calculator, give the exact trigonometric function value with rational denominator.
cos 30°
a.
mc011-1.jpg
c.
mc011-3.jpg
b.
mc011-2.jpg
d.
mc011-4.jpg
 

 12. 
Without using a calculator, give the exact trigonometric function value with rational denominator.
cos 60°
a.
mc012-1.jpg
c.
mc012-3.jpg
b.
mc012-2.jpg
d.
mc012-4.jpg
 

 13. 
Without using a calculator, give the exact trigonometric function value with rational denominator.
 sin 60°
a.
mc013-1.jpg
c.
mc013-3.jpg
b.
mc013-2.jpg
d.
mc013-4.jpg
 

 14. 
Without using a calculator, give the exact trigonometric function value with rational denominator.
tan 60°
a.
mc014-1.jpg
c.
mc014-3.jpg
b.
mc014-2.jpg
d.
mc014-4.jpg
 

 15. 
Find the exact value of x in the figure.
mc015-1.jpg
a.
23mc015-2.jpg
c.
22mc015-4.jpg
b.
22mc015-3.jpg
d.
20mc015-5.jpg
 

 16. 
Find the exact value of x in the figure.
mc016-1.jpg
a.
11mc016-2.jpg
c.
mc016-4.jpg
b.
11mc016-3.jpg
d.
mc016-5.jpg
 

 17. 
Find a formula for the area of the figure in terms of s.
mc017-1.jpg
a.
mc017-2.jpg mc017-3.jpg
c.
mc017-5.jpg mc017-6.jpg
b.
mc017-4.jpg
d.
mc017-7.jpg mc017-8.jpg
 

 18. 
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
sin  77°
a.
csc  13°
c.
sin  167°
b.
cos  77°
d.
cos  13°
 

 19. 
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
 cos  33°
a.
sin  57°
c.
cos  123°
b.
sec  57°
d.
sin  33°
 

 20. 
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
 tan  41°
a.
cot  49°
c.
cot  139°
b.
cot  41°
d.
tan  131°
 

 21. 
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
 csc  35°
a.
sec  35°
c.
sec  55°
b.
csc  145°
d.
sin  55°
 

 22. 
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
 cot  31.1°
a.
cot  58.9°
c.
tan  148.9°
b.
tan  58.9°
d.
tan  31.1°
 

 23. 
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
 cos  31.2°
a.
sin  58.8°
c.
sec  148.8°
b.
cos  148.8°
d.
sin  31.2°
 

 24. 
Find a solution for the equation. Assume that all angles are acute angles.
sin A = cos  8A
a.
8°
c.
80°
b.
10°
d.
82°
 

 25. 
Find a solution for the equation. Assume that all angles are acute angles.
 sec è = csc(è  + 46°)
a.
22°
c.
23°
b.
67°
d.
68°
 

 26. 
Find a solution for the equation. Assume that all angles are acute angles.
tan(3á  + 12°) = cot(á  + 36°)
a.
14.5°
c.
16°
b.
10.5°
d.
12°
 

 27. 
sin  86° > sin  24°
a.
True
b.
False
 

 28. 
cos  43° = cos  5°
a.
True
b.
False
 

 29. 
tan  23° < tan  4°
a.
True
b.
False
 

 30. 
sin  59° < cos  59°
a.
True
b.
False
 

 31. 
tan  28° > cot  28°
a.
True
b.
False
 

 32. 
sec  50° < sec  4°
a.
True
b.
False
 

 33. 
Find the equation of a line passing through the origin and making a mc033-1.jpg angle with the positive mc033-2.jpg
a.
y = mc033-3.jpgx
c.
y = x
b.
y = mc033-4.jpgx
d.
y = -x
 

 34. 
What angle does the line mc034-1.jpg make with the positive mc034-2.jpg
a.
45°
c.
60°
b.
90°
d.
30°
 

 35. 
Find the equation of a line passing through the origin so that the sine of the angle between the line in mc035-1.jpg and the positive mc035-2.jpg is mc035-3.jpg.
a.
y = mc035-4.jpgx
c.
y = mc035-5.jpgx
b.
y = x
d.
y = mc035-6.jpgx
 

 36. 
Find the equation of a line passing through the origin so that the sine of the angle between the line in mc036-1.jpg and the positive mc036-2.jpg is mc036-3.jpg.
a.
y = mc036-4.jpgx
c.
y = mc036-5.jpgx
b.
y = x
d.
y = mc036-6.jpgx
 



 
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