MATH 142                                           FALL 2009

 

Practice test 1

 

1. What is the exact value of a?

 

2. Find the exact area of a sector or a circle of radius 7 formed by an angle of 30 degrees. (Leave answer in terms of ).

 

3.   Find the exact value of cot 2 if sec 2 = -5 and sin 2 < 0.

 

4. A pendulum clock swings thru an angle of 30E each second.  If the pendulum is 7 inches   long, how far does the tip move each second? (Leave answer in terms of ).

 

5. Find the exact value of the following expression: .

 

6.  Find the exact value of a) csc 660E         b) cos 225E

 

7.  Is the function f(x) = 2tan(x) odd, even or neither.  Explain!

 

8.  Graph one period of f(x) = csc x.  Label everything.

 

9.  Sketch a graph of a.  Label all important items.

 

10.  Sketch a graph of s.  Label all important items including period, shift and amplitude.