Precalculus Final Exam Review Game

Trigonmetry

100

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

csc^2 x

200

Find the cos255

(-sqrt6+sqrt2)/4

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 (-1/2)

2pi/3

500

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

no triangles possible

Evaluate

100

sin(pi/6)

1/2

200

tan (2pi/3)

-sqrt3

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 on [0, 2pi): sin^2x+sinx-2=0

pi/2

300

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

2pi/3, 4pi/3

400

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

2pi/3, 4pi/3

500

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

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

Graphing

100

Find the period of y=3cos2x-1

pi

200

Find the interval of y=3cos2x-1

pi/4

300

Find the maximum value of y=3cos2x-1

2

400

y=tan(x+pi/2) has a vertical asymptote at 

-pi

500

How would you graph y=4secx-3

Graph y=4cosx-3 and then draw asymptotes at the midline and "parabolas" at max/min

Miscellaneous

100

A 5 ft ladder rests against a building.  The base of the ladder is 3 feet from the side of the building.  What angle of elevation does that ladder make with the building?

53.1 degrees

200

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

A = 49

300

Simplify: (sin2x+cosx)/cosx

2sinx+1

400

Simplify: (sec^2 x - 1) / (sec^2 x) 

= sin^2 x

500

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

Amplitude = 2, Period = 1