Precalculus Final Exam Review Game

Trigonmetry

100

Complete the identity: ______ + 1 = cot^2 x

csc^2 x

200

Solve on [0, 2pi): sec x + 2 = 0

2pi/3, 4pi/3

300

What would you find first in this problem, and what law would you use to find it? Solve triangle ABC given that a = 8, c = 5, and B = 40

b, using law of cosines

400

Evaluate arccos (-2)

not possible

500

An energy company uses one wellhead to drill several exploratory wells as different angles. They strike oil when they have drilled 2879 feet along an angle of depression of 44 . Find the depth of the oil deposit.

1999.92 Feet

Evaluate

100

log base 2 of 1/8

-3

200

ln e^7

7

300

sin pi

0

400

arccos (1)

0

500

arcsin (-1/2)

-pi/6

Equations

100

Solve on [0, 2pi): tanx = -1

x = 3pi/4, 7pi/4

200

Solve: 4^(x+3) = 16^(5x)

x=1/3

300

e^x + 5 = 66

x = 4.111

400

Solve: log base2 of (x+3) = 5

x=29

500

Solve on [0, 2pi): 2sin^2 x - 3sin x +1 =0

x = pi/6, 5pi/6, pi/2

Graphing

100

Is this graph of this function increasing or decreasing? f(x)=4^(-x)

decreasing (because equivalent to f(x)=(1/4)^x)

200

State the vertical asymptotes of this function: x / (x^2-3x+2)

x=2, x=1

300

State the horizontal asymptote of this function: (3x^2)/(x^3 - 4x +3)

y=0

400

Daily Double

3 Variables, x y t or theta

500

Name the complement and supplement of theta = 29pi/37

C-None S-8pi/37

Miscellaneous

100

State the domain of this function: (x^2 +2)/(2x^2 - 5x - 3)

R, x cannot equal -1/2, 3

200

Expand: ln{square root[x^(2)(x+2)]}

lnx + 1/2ln(x+2)

300

One period of f(x)=cos x runs from ____ to ____

max to max

400

What is the period length of tan(x)? 

pi

500

A point on the rim of a wheel has a linear speed of 14 cm/sec. If the radius of the wheel is 20 cm, what is the angular speed of the wheel in radians per second?

.7 rad/sec