King Fahd University of Petroleum and Minerals

Faculty of Science   Math Per -Year Program

Math 002- term 032

Worksheet (5.1-5.5)

Question1: Find the exact value of  :

Question2: Verify each of the following identities:

Question3:

a) If   , then find the angle that is supplement to .

b) Convert the angle  from radian to revolution.

c) Find 2 positive angles and 2 negative angles in radian that are

are coterminal to the angle .

c) Express in terms of .

d) Determine the sign of :  .

Question4:

a) If   and     terminates in quadrant II find : .

b) If the point  is on the terminal side of an angle  where

, then find .

c) If  the terminal side of an angle  contains the  point ,then

find .

d) If    and   find .

e) If the terminal side of the angle  lies on the line

find  .

f) Let corresponds to the point  on a unit circle . Find :

a)

b)

c)

Question5:  True or False:

Question7:

a) A wheel on a truck  has a diameter of  feet .How far does the truck move as the wheel turns through an angle .

b) A wheel is rotating at 100 revolution per minute ,find the angular speed in radian per second.

c) An object is moving on circle of diameter 80 cm .if it makes 5 revolutions   in 2 seconds, find:

a)     its angular velocity.

b)    its linear velocity.