Precalculus Foundations Trig

The Unit Circle

100

What is the 

cos((3pi)/2)?

0

200

Find 

sin ((5pi)/3)

 -sqrt3/2 

300

sec(pi/4)=

sqrt2

400

csc (480^o)

(2sqrt(3))/3

500

cot((23pi)/6)

-sqrt3

Right Triangle Trig

100

For the triangle shown, find 

 cos(theta)   

4/5

200

Find the missing side: 

13.6

300

Find  cot(theta) 

(3sqrt(7))/7

400

Find  cos(theta) if  tan (theta) = 4/6 

(3sqrt13)/13

500

Find  tan(theta)  if  csc(theta)=(2sqrt5)/3 

(3sqrt(11))/11

All Mixed Up

100

Convert to radians:  

- 120^o

(-2pi)/3

200

SET UP a trig equation to solve for the height of a streetlight, if there is an 8 foot shadow with a 25 degree angle of depression.  You do NOT need to solve.  

tan(25) = h/8

300

Solve:  tan(x) = 1.  0<x<2pi 

pi/4, (5pi)/4

400

Find 

sec ((5pi)/3)

2

500

Find 

cot((13pi)/6)

 sqrt3 

Word Problems

100

Set up a trig equation that can be used to solve:  A 10 foot ladder propped up against a house makes a  25^0 angle of elevation with the ground. How tall is the top of the ladder from the ground?   

sin(25^0) = x/10

200

An foot ladder propped up against a house makes a  40^0  angle of elevation with the ground. How tall is the top of the ladder from the ground?  Round to two decimal places.

5.14 feet

300

An airplane is 30000 feet in the air and has an angle of depression of  15^0 as it approaches it's landing spot.  What distance will the plane fly diagonally as it goes from this location to the landing spot?  Round to the nearest foot.  

1115911 feet

400

Rachel is standing on top of an apartment building looking at a taller high rise in front of her.  The angle of elevation as she looks at the top of the highrise is  60^0 while the angle of depression as she looks to the bottom of the building is  35^0 .  If the apartment is 50 feet from the highrise, how tall is the highrise building?  Round to the nearest foot.  

122 feet tall

500

Rhonda is standing between two buildings. On one side of the street is an 85 foot building and when she looks up at the top, the angle of elevation is  78^0 . The other side of the street has a 70 foot building, which has a  65^0  angle of elevation when she looks at the top.  Find the distance between the two buildings, to the nearest foot.  

64 feet

Co-terminal Angles

100

What co-terminal angle could you use to find  sin(390^0) 

30^0

200

What co-terminal angle could you use to find 

cos((11pi)/4)

(3pi)/4

300

Find 

tan((7pi)/2)

tan((3pi)/2) = 0

400

Find a positive and negative co-terminal angle for  pi/6 

(13pi)/6 and (-11pi)/6

500

Find one positive and one negative co-terminal angle of    (7pi)/9 

(25pi)/9 and (-11pi)/9