1.  Change 2p/5 to degrees.

 2.  Change 310^o to radians, leaving p in the answer.

 3.  Find a negative coterminal angle and a positive coterminal angle for
      a.  640^o
      b.  3p/4
      c.  -900^o

 4.  Change 45 rpm to radians per second.

 5.  Find the length of an arc cut out of a circle with radius 7 inches by a central angle of 45^o.

 6.  Find the area of the sector cut out in #5.

 7.  Solve the equation:  cos q = 1

 8.  Find:
      a.  sin 195^o
      b.  cos 11p/6 without a calculator

 9.  Find all six trigonometric functions for an angle whose terminal side passes through (-6,-8).

10.  Find all six trigonometric functions for the angle, if
       a.  sec q = -25/7 and q is in quadrant II
       b.  sin q = 3/7 and p/2 <  q < 3p/2

11.  Find reference angles for
       a.  35^o
       b.  2p/3
       c.  225^o
       d.  5p/3
       e.  3 radians

12.  Know the trigonometric values for the special angles without using your calculator.
       a.  sin 330^o
       b.  tan 45^o
       c.  csc p/2
       d.  sec (-210^o)

13.  What is the degree measure of a central angle that intercepts an arc of 12p cm on
       a circle of radius 24 cm?

14.  The perimeter of a sector is 6 cm and its area is 2 sq cm.  Find two possible values
       of the radius.

15.  The latitude of Memphis is 36^o6' N.  Jackson, MS, is due south of Memphis and
        has latitude of 33^o6'.  Find the distance in kilometers from Memphis to Jackson,
        given the radius of the earth is approximately 6400 km.

16.  A wheel spins at 500 revolutions per minute?
       a.  What is the angular speed in radians per minute?
       b.  If the wheel has a radius of 18 inches, what is the linear speed of a point on the rim?

17.  Solve, using a calculator:
       a.  sin x = 2x + 1
       b.  cos x = x² - 4
 

Answers