Algebra 2 Final Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the trigonometric expression.
1.
In , is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.
2.
a = 3, c = 19
a. 
= 9.1°, = 80.9°, b = 18.8 
c. 
= 14.5°, = 75.5°, b = 18.8 
b. 
= 80.9°, = 9.1°, b = 18.8 
d. 
= 75.5°, = 14.5°, b = 18.8 
3.
What is the simplified form of sin(x + p)?
a. 
cos x 
b. 
sin x 
c. 
–sin x 
d. 
–cos x 
Rewrite the expression as a trigonometric function of a single angle measure.
4.
Short Answer
5.
Consider the sequence 1, , , , ,…
a. 
Describe the pattern formed in the sequence. 
b. 
Find the next three terms. 


6.
Consider the sequence 16, –8, 4, –2, 1, …
a. 
Describe the pattern formed in the sequence. 
b. 
Find the next three terms. 


7.
Consider the graph of the cosine function shown below.
a. Find the period and amplitude of the cosine function.
b. At what values of for do the maximum value(s), minimum values(s), and zeros occur?
Verify the identity. Justify each step.
8.
9.
Verify the identity .
10.
Use the definitions of the trigonometric ratios for a right triangle to derive a cofunction identity for tan(90° – A). Show your steps.
11.
Use an angle sum identity to verify the identity .
12.
Without graphing, determine whether the function represents exponential growth or exponential decay.
13.
Without graphing, determine whether the function represents exponential growth or exponential decay.
14.
The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years.
a. Write an exponential function for the graph.
b. Use the function in part a to find the value of the boat after 9.5 years.
15.
Use a graphing calculator to solve the equation in the interval from 0 to 2p. Round to the nearest hundredth.
16.
The equation models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released.
a. Solve the equation for t.
b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth.
c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round your answers to the nearest hundredth.
17.
Consider the infinite geometric series.
a. 
Write the first four terms of the series. 
b. 
Does the series diverge or converge? 
c. 
If the series has a sum, find the sum. 


We offer the best custom writing services. We have done this question before; we can also do it for you…
Delivering a highquality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a moneyback guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarismdetection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more