Pre-Calc 4.1-4.3 Review!

Radian & Degree Measure

100

45 degrees is what in radians?

pi/4

200

420 degrees falls in what quadrant?

Q1

300

What is a complement to the angle pi/3

pi/6

400

Name one positive & one negative coterminal angle to 3pi/4.

11pi/4 and -5pi/4

500

What quadrant does the angle 840 degrees fall in?

Q2

The Unit Circle

100

Name the coordinate for the angle 5pi/3 on the Unit Circle. 

(1/2,-(sqrt3)/2)

200

Evaluate: cos(5pi/6)

-sqrt3/2

300

cos(-pi/2)

0

400

cot(7pi/4)

-1

500

tan(7pi/6)

sqrt3/3

Evaluating Trig Functions (right triangles or identities)

100

Given: cos(x) = 1/4 find the sec(x).

4

200

Given the cos(x) = 1/4 find the sin(90-x). 

1/4

300

Given the cos(x) = 1/4 find the sin(x). 

root15/4

400

Given the sec(x) = 5 find the tan(x). 

 

2roots6

500

Given the cos(x) = 2/3 find cot(x). 

2roots5/5

Simplifying Identities

100

Simplify sec(x)cot(x)   

csc(x)

200

Simplify

(1-sinx)(1+sinx)

cos²x

300

sin²x(1+cot²x)

1

400

Simplify: 

csc(x)-cot(x)cos(x)

sin(X)

500

Simplify

(sec^2(x)-1)/(sec^2(x))

sin²x

Math Jokes

100

How do mathematicians plow fields?

With a pro-tractor

200

Why doesn't anyone talk to circles?

Because there's no point

300

What are 10 things you can always count on?

Your fingers!

400

What do mathematicians do when it snows?

Make snow angles

500

Why did the two fours skip lunch?

They already eight!