Pre-Calc Final Review Game #3

Graphing Trig Equations

100

"What is the amplitude of "

"f(x)=6cos(4x-pi)+3?

6

200

"What is the period of "

f(x)=6cos(4x-pi)+3?

"To find the period, take "2pi" divided by the cofficient of x."

"The period is "(2pi)/4=pi/2

Inverse Trig Functions

100

"Evaluate"arccos (sqrt(3)/2) 

"without using a calculator."

30^o or pi/6

200

"Use your calculator to evaluate"

arcsin0.4523" to the nearest degree."

27^o

Solving Trig Equations

200

"Find all solutions of the equation "

4sintheta=2sintheta-1" in the interval "[0, 2pi).

2sintheta=-1" "implies" "sintheta=-1/2

theta=(7pi)/6 or (11pi)/6

Solving Triangles

100

"Find the length of side b in"triangleABD 

" if "B=12^o, C=20^o, and c=33.

(Round your answer to the nearest whole number.)

(b/sin12^o)=(33/sin20^o)" "implies" "bsin20^o=33sin12^o

b=20

300

"Find the measure of "angleA" in"triangleABC

" if "a=4, b=7 and c=9.

(Round your answer to the nearest degree.)

a^2=b^2+c^2-2bc cosA" "implies" "4^2=7^2+9^2-2(7)(9)cosA

16=49+81-126cosA" "implies" "cosA=0.9048

angleA=25^o

Misc. Trig

100

"True or False: "cos(-x)=cosx

True

"Example: "cos(-30^o)=cos30^o

300

"Find the exact value of "sin75^o

" using a sum or difference formula."

sin75^o=sin(45^o +30^o )=sin45^o  cos30^o +cos45^o sin30^o

=(sqrt(2)/2)(sqrt(3)/2)+(sqrt(2)/2)(1/2)

(sqrt(6)+sqrt(2))/4