Transcript Beginning trig football review

Full Contact (Mental contact) Review
(Modeled loosely on the game of Football)
Rules:
• A coin toss (of course) determines who goes first.
• The coin-toss-winning team starts on the 20 yard line and tries to advance the
football to a TD (so I guess it's really overtime football all the time). Advancing
happens with a roll of the dice for yardage and the person chosen to answer the
question (card drawn) must get it right.
• If the answer is "fumbled" the other team (person whose card is drawn) has an
opportunity to recover.
• If the football advances, normal football rules (4 downs to make first in ten) apply.
• A touchdown will be followed by extra points as determined by team captain. One
point is earned with one correct answer, two point with two correct answers.
• The decisions about unsportsmanlike conduct, delay of game, unnecessary
geeking, etc. are made by the ref----no replay decisions.
• Surely you realize the real point is review for the test happening next time…..it's
about 20% of your 9-weeks grade. This review won't be enough---study your
previous quizzes and homework problems.
• Winning team starts the test with one extra credit point on test.
Give the decimal degree version
of the angle 35˚42' 25". Round to
nearest hundredth
• (Where do you go in Chicago in case of a tornado?)
2
35.71˚
•
(Soldier Field. They rarely get a touchdown there)
3
Use your calculator to find
sec 123˚44'55"
• Round answer to 4th decimal place
(What is the name of the picture below?)
4
Answer is –1.8000
• (football pi)
5
Albert's truck has wheels 36 inches in
diameter. If the wheels are rotating at 630
rpm, find the truck's speed rounded to the
nearest mph
(Where do hungry football players play?)
6
Answer 67mph
(In the Supper Bowl)
7
Give exact values for the following. Do
not consult your calculator.
1. cos 3
2
3. sec 5
3
2. sin7
6
4. tan 315Þ
(What do you call a lineman's kid?)
8
Answers:
1. cos 3  0
2
3. sec 5  2
3
2. sin7   21
6
4. tan 315Þ 1
(Chip off the old blocker.....am I crackbacking you up?)
9
NO CALCULATOR!
Find the cotangent of x if
3
if
 x  2
3
sinx  
4
and
2
(What did the football coach say to the broken vending machine?)

10
answer:
7

3
(Give me my quarterback!)

11
Use transformations to describe how the graph
of the function below is related to the basic
trigonometric graph y = sin x
y= –2–3sin(x–π)
12
Compared to y=sinx
•vertical stretch of 3
•vertical translation down 2
•horizontal translation to right π
•reflected about x axis
13
State the amplitude, period, phase shift (horizontal shift) ,
domain, and range for the sinusoid
y = –2 cos (3x+1)
Football Quote:
"Nobody in football should be called a genius. A genius is a guy
like Norman Einstein."
Football commentator and former player Joe Theismann
14
Amplitude is 2
Period is 2π/3
Phase shift –1/3
Domain = all reals
Range=[-2,2]
15
Give the domain and range of
y=3sin(2x)
Football quote:
Steve Spurrier, Florida football coach, telling Gator fans that a
fire at Auburn's football dorm had destroyed 20 books: "But the
real tragedy was that 15 hadn't been colored yet."
16
Domain is all real numbers and
range is [–3, 3]
17
NO CALCULATOR. Two of the functions
below have identical graphs. Which two?
(You must be able to explain how you got your answer)

 
A) y  sin2x  

4 

 
C) y  cos2x  

2 

 
B) y  cos2x  

4 
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A and B
(one easy way to tell would
be to check an easy point in all functions........let
x=0 and see which have the same y value
19
Find exact value for the cosine of an
angle  so that tan = 2 and
3

2
("exact value" means decimal approximation
won't work,
 which means your calculator
is pretty much worthless)
20
Answer:
1

or
5
5

5
Find the length of the arc intercepted
by a central angle of 2π/3 in a
circle with radius 2 inches. Give
both exact answer and also answer
rounded to tenths.
22
Answer: 4π/3 or 4.2 inches
23
From the top of a 150-ft building,
Polly observes Tony driving a car
toward her. If the angle of
depression to the car changes from
18˚ to 42˚ during the observation,
how far does the car travel? (round to the
nearest foot)
24
295 feet
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Extra practice:page 439ff #1-68,
93-103
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