Math 120 – Teamwork # 1

You may write your work here or on another sheet of paper.  Please box your answers.

 

1.       List two coterminal angles for the given angle, one positive and one negative.

a.       75°  (provide both answers in degrees)

 

 

b.         (provide both answers in radians)

 

 

2.       Convert the following angle measurements from degrees to radians.   Give exact answers in terms of .  Show ALL steps!

          a.       320°                                            b.       56°15’                

 

 

 

 

 

 

3.       Convert the following angle measurements from radians to degrees.   Give exact answers in the form of degrees, minutes, seconds.  Show ALL steps!

          a.                                                    b.                         

 

 

 

 

 

 

4.       For the following, give the (i) exact answer and (ii) the approximate answer to three decimal places.  Show ALL steps!

          a.       Find the arc length if  = 59°25’ and the radius is 13 in.

 

 

 

 

 

 

 

          b.       The minute hand of a clock is 12 cm long. How far does the tip of the hand move in 10 minutes?

 

 

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5.       Use the definition or identities to find the exact value of each of the remaining five trigonometric functions.  [Hint: draw a triangle first.]

          a.                                          b.      

 

 

 

 

 

 

 

 

 

 

 

6.       Find the exact value of each expression without using a calculator.  Show all steps!

          a.      

 

 

 

 

 

 

          b.      

 

 

 

 

 

 

          c.