Trig Review

Basic Trig

100

In triangle ABC if A=54 degrees C=90 degrees and a=10. What is the length of c?

12.36

200

In triangle ABC if A=60 degrees C=90 degrees and c=18. What is the length of b?

15.59

300

In triangle ABC if B=23 degrees C=90 degrees and b=4. What is the length of a?

9.42

400

In triangle ABC if C=90 degrees and b=12, and a=5. What is the measure of angle A ?

22.62

500

In triangle ABC if C=90 degrees b=8, and c=15. What is the measure of angle B ?

32.23

Unit Circle

100

What is Sin 30

1/2

200

What is csc 210?

sqrt(3)

300

What is the tan -9pi/4

-1

400

What is the Sec 5pi/3

2

500

What is the Cos -225

-sqrt(2)/2

Trig Word Problems

100

A cat is standing 8ft away from a tree. It looks up and spots a bird at an angle of elevation of 55 degrees. How high is the bird?

11.43 feet

200

A 12 ft long ladder is leaning up against a 10 foot tall tree so that it reaches the top of the tree. What is the angle of elevation the ladder makes with the ground?

56.44^o

300

A 6.5ft tall person looks at the top of a 30ft tall light pole at an angle of elevation of 36 degrees. How far away from the pole is the person standing?

32.24 feet

400

A 5 ft tall person stands 100 ft away from a 300ft tall building. What angle of elevation would the person have to look at to see the top of the building?

68.59^o

500

Two buildings are 50 ft away from each other. The smaller building is 12 ft tall. If a 6ft tall person stands on top of the smaller building they can look at a 38 degree angle to see the top of the larger building. How tall is the larger building?

21.91 feet

Coterminal

100

Find a positive coterminal angle for 52^o

412^o

200

Find a negative coterminal angle for 112^o

-248^o

300

Find a postive coterminal angle for pi/7

15pi/7

400

Find a negative coterminal angle for 742^o

-338^o

500

Find a positive coterminal angle for 

pi/3

Misc.

100

What are the reciprocals of sin, cos and tan respectively?

csc, sec, cot

200

Simplify the following:

(1-cos²x)/sinx

sin x

300

Given that the terminal side of the angle x goes through the point (-1,-1), find csc x.

-sqrt(2)

400

Find sin x if cot x=3/7 and sec x<0

(-7sqrt(58))/58

500

Simplify the following:

(secx/sinx)-(sinx/cosx)

cot x