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

• (Soldier Field. They rarely get a touchdown there)

3

35.71˚

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

6

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?)

7

Answer 67mph

(In the Supper Bowl)

8

Give exact values for the following. Do not consult your calculator.

(What do you call a lineman's kid?)

1.  cos3π2

     2. sin7π6

   

3. sec 5π3

     4. tan 315˚

9

Answers:

(Chip off the old blocker.....am I crackbacking you up?)

1.  cos3π2

=0     2. sin7π6

=−12   

3. sec 5π3

=2     4. tan 315˚=−1

10

NO CALCULATOR!

Find the cotangent of x if and if

(What did the football coach say to the broken vending machine?) € 

sinx = −34

€ 

3π2

≤ x ≤ 2π

11

answer:

(Give me my quarterback!)

€ 

− 73

12

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)

13

Compared to y=sinx

•vertical stretch of 3•vertical translation down 2•horizontal translation to right π•reflected about x axis

14

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

15

Amplitude is 2Period is 2π/3Phase shift –1/3Domain = all realsRange=[-2,2]

16

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."

17

Domain is all real numbers and range is [–3, 3]

18

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 +π4

⎛

⎝ ⎜

⎞

⎠ ⎟ B) y = cos 2x −

π4

⎛

⎝ ⎜

⎞

⎠ ⎟

C) y = cos 2x −π2

⎛

⎝ ⎜

⎞

⎠ ⎟

19

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

20

Find exact value for the cosine of an angle so that tan = 2 and

("exact value" means decimal approximation won't work, which means your calculator is pretty much worthless)€ 

θ

€ 

θ

€ 

π ≤θ ≤3π2

Answer:

€ 

−15

or −5

5

22

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.

23

Answer: 4π/3 or 4.2 inches

24

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)

25

295 feet

Extra practice:page 439ff #1-68, 93-103

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