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Unit Circle
Pythagorean Identities+
Graphing
Laws of Sines and Cosines
Potpourri
100

What are the two special triangles?

45-45-90

30-60-90

100

List the 6 trig functions

Sine, Cosine, Tangent, Cosecant, Secant, Cotangent

sin(x), cos(x), tan(x), sec(x), csc(x), cot(x)

100

What are the maximum and minimum of a sine/cosine graph called?

Peaks/Crests are maximum, and troughs are minimums

100

What is the Law of Sines?

a/sin(A)=b/sin(B)=c/sin(C)

100

What is SOHCAHTOA?

Sine=opposite/hypotenuse

Cosine=adjacent/hypotenuse

Tangent=opposite/adjacent

200

What is sin(3pi/2), cos(pi), and tan(pi/2)

sin(3pi/2)=-1

cos(0)=1

tan(pi/2)=undefined

200

How do I find csc(x), sec(x), and cot(x)?

csc(x)=1/sin(x)=H/O

sec(x)=1/cos(x)=H/A

cot(x)=1/tan(x)=cos(x)/sin(x)=A/O

200

What is the general form of a sine function?

y=a*sin(bx-c)+d

200

What is the Law of Cosines?

c2=a2+b2-2ab*cos(C)

200

Find c: A=70deg, b=5

c=14.6

300

Find all missing sides and angles, given A=pi/6 and a=4

B=pi/3, b=8, c=4*sqrt(3)

300

Find sec(x) when cos(x)=1/2

sec(x)=2

300

What is the equation for Period?

period = 2pi/b

300

Find b when C=30deg, B=4deg, and c=7

b=4.95

300

Find 3 different values for x=sin-1(1/2)

Examples: x=pi/6, 5pi/6, 13pi/6, 17pi/6, -11pi/6, -7pi/6

400

Solve for x:

tan(x)=-sqrt(3)/4

cos(x)=1/2

x=5pi/3

400

List all three Pythagorean Identities

sin2(𝜃) + cos2(𝜃) = 1

1 + cot2(𝜃) = csc2(𝜃)

tan2(𝜃) + 1 = sec2(𝜃)

400

what are a, c, and d called in the general form of a sine/cosine function?

a is the amplitude, c is the phase shift, and d is the vertical shift

400
Find a when b=5, c=9, and C=45deg

a=11.81

400

List 2 distinct Pythagorean triples 

(that are not multiples of each other!)

Examples: 3-4-5, 5-12-13, 9-40-41, 8-15-17

500

Create the third quadrant of the Unit Circle

( -sqrt(3)/2 , -1/2 )

( -sqrt(2)/2 , -sqrt(2)/2 )

( -1/2 , -sqrt(3)/2 )

500

How do you find the second and third identities?

Second: divide all parts by sin2(x)

Third: divide all parts by cos2(x)

500

Graph: f(x)=cos(x)+2 and g(x)=tan(x)-1

*based on accuracy on white boards*

500

What is wrong with this solution?

When solving for C: a=3, b=4, and c=6;

16=9+36-24cos(C)

b2 and c2 are in the wrong places

500

Given A=pi/5 and a=5

Find the Perimeter and Area

P=20.39, A=17.20