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Math 112 practice for exam 2 Answers
1. Compute the interior angle measures of a parallelogram which has area 15 and sides of length
3 and 7.
5
Answer: sin1 ( 5 ) and sin1 ( 7 ) (both in radians).
7
2. How many triangles have area 2, and sides of length 4
Name:
2/7/12
Math 112 Exam 1 (noon section)
Directions: Read each question carefully and write your answers in the spaces provided.
1. (1pt) True or False? If sin() = 1, then tan() is undened.
Answer:
2. (1pt) True or False? arccos(cos() = for any .
Answe
Name:
3/6/12
Math 112 Exam 2 (noon section)
Directions: Read each question carefully and write your answers in the spaces provided. Each
correct answer is worth 1 point for a total of 10 possible points.
1. Consider the function f (x) = 5 sin(2x + ) + 4.
Math 112 practice for exam 1: solutions to true/false
1. True or False:
(a) If cos() > 0 and sin() < 0 then tan() must be negative.
Solution: TRUE. We know tan() =
number is always negative.
sin()
cos() ,
and a negative number divided by a positive
(b) co
Math 112 practice for exam 1
To practice for the exam, you should work through all the old homework assignments and quizzes.
Additionally, here are some more problems to do:
1. True or False:
(a) If cos() > 0 and sin() < 0 then tan() must be negative.
(b)
Math 112 practice for exam 2
Our second exam will cover chapter 6 from the textbook. To practice for the exam, you should
work through all the relevant homework assignments and quizzes. Additionally, here are some more
problems to do:
1. Compute the inter
Name:
1/17/12
Math 112 Quiz 1 (noon section)
Directions: Read each question carefully and write your answers in the spaces provided.
1
1. (1pt) True or False? The point ( 3 ,
8
3)
is on the unit circle.
Answer:
2. (1pt) Which of the following angles corre
Name:
1/24/12
Math 112 Quiz 2 (noon section)
Directions: Read each question carefully and write your answers in the spaces provided.
1. (1pt) True or False? If sin(u) = sin(v ), then u = v .
Answer:
2. (1pt) Which quadrant does the terminal side of the an
1/31/12
Name:
Math 112 Quiz 3 (noon section)
Directions: Read each question carefully and write your answers in the spaces provided.
1. (1pt) Suppose tan( ) < 0 and csc( ) < 0. Which quadrant does lie in?
Answer:
2. (2pts) Compute each of the following:
t
Name:
2/14/12
Math 112 Quiz 4 (noon section)
Directions: Read each question carefully and write your answers in the spaces provided.
1. (4pts) Consider the following triangle (not drawn to scale):
(a) Given a = 4, b = 6, and = 60 , compute the area of the
Name:
2/21/12
Math 112 Quiz 5 (noon section)
Directions: Read each question carefully and write your answers in the spaces provided.
1. (2pts) Find the measure of the angle labelled in the following triangle.
Answer:
2. (2pts) Find the length of the side
Name:
2/28/12
Math 112 Quiz 6 (noon section)
Directions: Read each question carefully and write your answers in the spaces provided.
1. (2pts) Convert the polar coordinates r = 5 and =
Answer: x =
5
3
to rectangular coordinates.
y=
2. (2pts) Convert the r
Math 112 - practice for chapter 7
1. Consider the arithmetic sequence with rst term 12 and common dierence 7.
(a) Write down the rst 5 terms.
(b) Write down a formula for the nth term.
2. Repeat the previous problem with the geometric sequence with rst te
Math 112 - answers to practice for chapter 7
1. Consider the arithmetic sequence with
rst term 12 and common dierence 7.
(a) Write down the rst 5 terms.
Answer. 12, 19, 26, 33, 40
(b) Write down a formula for the nth
term.
Answer. an = 12 + 7(n 1)
2. Repe