Unit 3 Review

Identities

100

1 / (sin x)

csc x?

200

(sin x) / (cos x)

 tan x?

300

1 / (sec x)

cos x?

400

(cos x) / (sin x)

cot(x)

500

1+cot²(x)

csc²(x)

Simplifying Identities

100

(sec x)(cos x)

1

200

(tan x)(cos x)

What is sin x?

300

(sec x) / (tan x)

What is csc x?

400

tan(x)/cot(x) + 1

sec²x

500

csc²x - cot²x=?

1

Law of Sines and Cosines

100

In triangle ABC, angle A is 81^o, angle B is 63^o, and side a is 18.6km.

Based off this description, find side b using the correct law.

Round to the nearest hundredths place (2 decimals)

16.78 (law of sines)

200

Nancy starts at home, she then drives East for 5 miles until she reaches Walmart, after Walmart she makes a 125^o change to head towards Starbucks that is 2 miles away. Using the correct rule, 

How far is Starbucks from Nancy's house?

6.36 miles

(law of cosines)

300

state heron's formula

sqrt(s(s-a)(s-b)(s-c))

400

What two conditions allow you to use law of sines on an oblique triangle?

1) 2 angles are provided and 1 side

2) 2 sides and  EXCLUDED angle

500

What two conditions allow you to use law of cosines on an oblique triangle?

1) three sides are provided

2) 2 sides and an INCLUDED angle

Trig Stuff

100

What is the common denominator for 

sinx/cosx + tanx/sinx

cosx*sinx

200

simplify the identity 

(csc²x-1)/sec²x

cot²x-cos²x

300

sinx*tanx*cot²x

cosx

400

verify the identity

sinx/cosx + cosx/sinx = ?

1/(cosx*sinx)

500

what is the common denominator for the following expression 

(1-sinx)/cscx - tanx/(1+sinx)

cscx(1+sinx)

random because why not you should know it

100

What country gifted the statue of liberty to the US?

France 

200

Who is the only President to be unanimously voted into office?

Bonus 200 points: Who is the only to have more than 2 terms?

George Washington

Bonus: Franklin D Roosevelt

300

2pi/3 is what angle on the unit circle? (and the correct unit)

120 degrees

400

Which State came last?

Bonus 400 points if you give which State came first

Last: Hawaii

First: Delaware

500

Who won the Korean War?

Noone, they are technically still at war. They only signed a truce.