Name: 
 

Trigonometric Functions of Real Numbers



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

 1. 

Find the exact values of the trigonometric functions mc001-1.jpg and mc001-2.jpg.
a.
mc001-3.jpg
b.
mc001-4.jpg
c.
mc001-5.jpg
 

 2. 

Find the exact values of the trigonometric functions mc002-1.jpg and mc002-2.jpg.
a.
mc002-3.jpg
b.
mc002-4.jpg
c.
mc002-5.jpg
 

 3. 

Find the exact value of the trigonometric functions mc003-1.jpg and mc003-2.jpg.
a.
mc003-3.jpg
b.
mc003-4.jpg
c.
mc003-5.jpg
 

 4. 

Find the exact value of the trigonometric function mc004-1.jpg.
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
 

 5. 

Find the exact values of the trigonometric functions mc005-1.jpg and mc005-2.jpg.
a.
mc005-3.jpg
b.
mc005-4.jpg
c.
mc005-5.jpg
 

 6. 

Find the exact values of the trigonometric functions mc006-1.jpg and mc006-2.jpg.
a.
mc006-3.jpg
b.
mc006-4.jpg
c.
mc006-5.jpg
 

 7. 

Find the exact values of the trigonometric functions mc007-1.jpg and mc007-2.jpg.
a.
mc007-3.jpg
b.
mc007-4.jpg
c.
mc007-5.jpg
 

 8. 

Find the exact values of the trigonometric functions mc008-1.jpg and mc008-2.jpg.
a.
mc008-3.jpg
b.
mc008-4.jpg
c.
mc008-5.jpg
 

 9. 

Find the exact values of the trigonometric functions mc009-1.jpg and mc009-2.jpg.
a.
mc009-3.jpg
b.
mc009-4.jpg
c.
mc009-5.jpg
 

 10. 

Find the exact values of the trigonometric functions mc010-1.jpg and mc010-2.jpg.
a.
mc010-3.jpg
b.
mc010-4.jpg
c.
mc010-5.jpg
 

 11. 

The terminal point determined by t is mc011-1.jpg. Find sin t, cos t, and tan t.
a.
mc011-2.jpg
b.
mc011-3.jpg
c.
mc011-4.jpg
 

 12. 

The terminal point determined by t is mc012-1.jpg. Find sin t, cos t, and tan t.
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
mc012-4.jpg
 

 13. 

Find the values of the trigonometric functions of t if mc013-1.jpg and the terminal point of t is in quadrant II.
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
 

 14. 

Find the values of the trigonometric functions of t if mc014-1.jpg and the terminal point of t is in quadrant III.
a.
mc014-2.jpg
b.
mc014-3.jpg
c.
mc014-4.jpg
 

 15. 

Find the values of the trigonometric functions of t if mc015-1.jpg and mc015-2.jpg.
a.
mc015-3.jpg
b.
mc015-4.jpg
c.
mc015-5.jpg
 

 16. 

Find the values of the trigonometric functions of t if mc016-1.jpg, and the terminal point of t is in quadrant IV.
a.
mc016-2.jpg
b.
mc016-3.jpg
c.
mc016-4.jpg
 

 17. 

Find the values of the trigonometric functions of t if mc017-1.jpg and mc017-2.jpg.
a.
mc017-3.jpg
b.
mc017-4.jpg
c.
mc017-5.jpg
 

 18. 

Find the values of the trigonometric functions of t if mc018-1.jpg and the terminal point of t is in quadrant II.
a.
mc018-2.jpg
b.
mc018-3.jpg
c.
mc018-4.jpg
 

 19. 

Determine whether the function mc019-1.jpg is even, odd, or neither.
a.
even
b.
neither
c.
odd
 

 20. 

Determine whether the function mc020-1.jpg is even, odd, or neither.
a.
even
b.
neither
c.
odd
 

Numeric Response
 

 21. 

Find the exact value of the trigonometric function at the given real number.

nr021-1.jpg

 

 22. 

Find the exact value of the trigonometric function at the given real number.

nr022-1.jpg

 

Short Answer
 

 23. 

Find the approximate value of the given trigonometric function.

sa023-1.jpg

sa023-2.jpg

(a) By using the figure. Please give the answer to one decimal place.

sa023-3.jpg __________

(b) By using a calculator in radians. Please give the answer to five decimal places.

sa023-4.jpg __________
 

 24. 

Find the approximate value of the given trigonometric function.

sa024-1.jpg

sa024-2.jpg

(a) By using the figure. Please give the answer to one decimal place.

sa024-3.jpg __________

(b) By using a calculator in radians. Please give the answer to five decimal places.

sa024-4.jpg __________
 

 25. 

Find the approximate value of the given trigonometric function.

sa025-1.jpg
sa025-2.jpg

(a) By using the figure. Please give the answer to one decimal place.

sa025-3.jpg__________

(b) By using a calculator in radians. Please give the answer to five decimal places.

sa025-4.jpg __________
 

 26. 

Find the sign of the expression if the terminal point determined by t is in the given quadrant.

sa026-1.jpg quadrant I
 

 27. 

From the information given, find the quadrant in which the terminal point determined by t lies.

sa027-1.jpg and sa027-2.jpg
 

 28. 

Find the exact value of the trigonometric function at the given real number.

sa028-1.jpg
 

 29. 

Find the exact value of the trigonometric function at the given real number.

sa029-1.jpg
 



 
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