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.