Convert the following to DMS•

•

45.125o

123.782o

Test Example Problems

Convert the following to degrees only (decimal)•

•

25 34'57"o

1 1'59"o

Test Example Problems

Solve the following:

A person on the edge of a canal observes a lamp post on the other side with an angle of elevation of 12o to the top of the lamp post and an angle of depression of 7o to the bottom of the lamp post from eye level. The person's eye level is 152 cm. Find the height of the lamp post

Test Example Problems

Convert the following to radians•

•

750o

Test Example Problems

135o

What angle is formed by the arc length given below in radians•

•

•

4

3

5

4

Test Example Problems

14

3

Find the sine, cosine and tangent of theta, given the following information•

•

9cos ,

12Quad I

Test Example Problems

8tan ,

65Quad III

Find the sine, cosine and tangent of theta, given the following information•

•

int ( 3,4)Goes throughthe po

Test Example Problems

Find the exact value of the indicated trigonometric ratio for the given angle

•

•

•

• •

•

cos6

Test Example Problems

15sin

4

7sin

6

7tan

4

25cos

3

4tan

3

Solve the following:

The hammer throw is a track and field event in which an athlete spins within a 4m diameter ring in an effort to hurl a 16 pound weight attached to a chain. If an athlete starts at the back of the ring, spins 5 and a quarter times around, in theory how many radians does the hammer go through?

Test Example Problems

Solve the following:

Given the diagram below, what is the ratio of the angles AFB and CED of the radius of the circles?

Test Example Problems

A B

C

2

mAB mCD

CE AF

DE

F

Simplify the following expressions•

•

cos tanx x

Test Example Problems

2 2 2tan cos cost t t

Simplify the following expressions•

•

tan sin cost t t

Test Example Problems

3

3

sin sin

cos cos

x x

x x

What values of t (in radians) satisfy the following criteria? 

•

•

•

1sin

2t

Test Example Problems

tan 2t

1cos

2t