Precalculus Final Exam Review Game

Trigonometry

100

What is the radius of a unit circle

1

200

What are possible side lengths of a triangle if sin(A) = 3/5 and cos(A) = 4/5

3,4,5

300

What trig property would you use to solve this problem? Find cos(pi/3 + pi/4)

Sum of cosine

cos²-sin²=1 - 2sin = 2cos -1

400

Evaluate arccos (-2)

not possible

500

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

csc^2 x

Evaluate

100

average rate of change of x² on interval [0 2].

2

200

lne⁷

7

300

sin(pi)

0

400

arccos (1)

0

500

log base 2 of 1/8

-3

Equations

100

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

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

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): tanx = -1

x = 3pi/4, 7pi/4

Graphing

100

What is the frequency of the following image? Assume axis is in radians
https://share.google/images/Pq687M7u1PqYpUcup

Pi

200

State the vertical asymptotes of this function: x / (x²-3x+2)

x=2, x=1

300

State the horizontal asymptote of this function: (3x²)/(x³ - 4x +3)

y=0

400

Find the period of tanx

Pi

500

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

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

Miscellaneous

100

State the period and amplitude of y=2tan(pi)(x)

Amplitude = 2, Period = 1

200

Give me an equation for this function. Image #2 in terms of a(sin(b(x+c))) + d

2sin(x+pi)+2

300

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

max to max

400

Rewrite in terms of sine only: (sec²x - 1) / (sec²x)

Sin²x

500

State the domain of this function: (x² +2)/(2x² - 5x - 3)

R, x cannot equal -1/2, 3