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Math 110 Final Exam Questions And Answers

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1. Evaluate the following (6 points): a.       64 1 log4 b.   3 / 2 log2 16 c.               6 5 sin(50 ) sin 6 5 cos2 2    2. Evaluate the following (8 points): a. cos (1/ 2) 1 b. tan ( 1) 1   c.       3 5 sin3  d. cos ( 3 / 2) 1   3. Solve the following equations for ALL solutions, making sure all answers are in the domain of the original problems. (8 points) a) 9 1 9 3 2 1  x x b) log log ( 1) log (2 ) 5 5 5 x  x   x 4. In triangle ABC c  6 , C = 45˚, and A = 30˚. Solve the triangle for angle B, side a and side b. [Note: Simplify all trigonometric expressions fully, including any with 15˚ or 75˚ reference angles] (4 points)

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Math 110 Final Exam
Problem(s) Score Total
Time: 2 hour 25 min
Instructions: Show all work for full credit.
No outside materials or calculators allowed.
Extra Space: Use the backs of each sheet
for extra space. Clearly label when doing so.

Name:

ID #:

Instructor/Section:

“I pledge by my honor that I have abided by the
NJIT Academic Integrity Code.”

_______________________ (Signature)

1. Evaluate the following (6 points):

 1 
b. log 2 16
3/ 2
a. log 4  
 64 




2  5  2  5 
c. cos    sin(50 )  sin  
 6   6 

, 2. Evaluate the following (8 points):

a. cos 1 () b. tan 1 (1)




3  5  1
c. sin   d. cos ( )
 3 




3. Solve the following equations for ALL solutions, making sure all answers are in the
domain of the original problems. (8 points)

1
a) 9 2 x 31 x  b) log5 x  log5 ( x  1)  log5 (2 x)
9

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