Precalculus Final Exam Review Game

Trigonmetry

100

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

cot^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

Given that a = 15, b = 25, A = 85, are there one, two, or no triangles possible?

no triangles possible

Evaluate

100

sin (pi)

0

200

arccos (0)

90 degrees

300

arctan (-1)

-pi/4

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

What is the amplitude of this function: y=-3sin(2x-7)+2

3

200

Cosecant is positive in which two quadrants?

Quadrants 1 and 2

300

True or False: tangent graphs are continuous everywhere

False, domain is all real numbers except odd multiples of pi/2

400

Describe the period for the following trigonometric function: f(x)=2sin(x+2)-1

2pi

500

Describe the phase shift of the following trigonometric function: f(x)=4cos(2x-3)-2

3/2 or 1.5

Miscellaneous

100

True or False: Hyperbolas are a collection of all points that are equidistant from a fixed point (called a foci) and from a line (called the directrix).

False

200

Given that C=102.3, B=28.7, b = 27.4, find A

A = 49

300

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

0 to 2pi

400

Prove the following identity: (sec^2 x - 1) / (sec^2 x) = sin^2 x

From LHS: 1. Use Reciprocal identity 2. Use Pythagorean identity

500

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

Amplitude = 2, Period = 1