senior Quiz 2 review by 11yflme

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									                              TRIGONOMETRY
                              QUIZ #2 REVIEW

Read directions carefully and show all work.
Round any decimals to 3 places.

   1) Convert the angle measure from degrees to radians. Express your
      answer as a multiple of  .
   a) 60o


   b) 120o


   c) -90o


   d) 750o


   2) Convert the angle measure from degrees to radians. Round your answer
      to three decimal places.
   a) 480o



   b) -127.5o



   c) 12o10’30”



   3) Convert the angle measure from radians to degrees.
      
   a)
      7


        15
   b)
         8



   d) -4.2 
4) Find (if possible) the complement and supplement of each angle.
a) 60o



b) 101o



     
c)
     3



     11
d)
      12



5) Find the length of the arc on a circle with a radius of 20 inches
   intercepted by a central angle of 138o.




6) Find the length of the arc on a circle with a diameter of 12 meters
                                      
   intercepted by a central angle of radians.
                                       3




7) Compact discs have all but replaced phonograph record. Phonograph
   records are vinyl discs that rotate on a turntable. A typical record
                                                   1
   album is 12 inches in diameter and plays at 33 revolutions per minute
                                                   3
   (rpm).

a) What is the angular speed of a record album?




b) What is the linear speed of the outer edge of a record album?
8) At what speed is a bicyclist traveling when his 27-inch-diameter tires
   are rotating at an angular speed of 5π radians per second?




9) Find the area of the sector of a circle with a radius of 18 inches and
   central angle θ = 120o.




10) Find the area of the sector of a circle with a diameter of 13 mm and
                  5
central angle θ =     .
                   6

								
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