Math 142

Exam 1

1. (10 pt) For the following two angles, convert from radians to degrees (or vice versa).

a) 252° b) radians

2. (20 pt) Assume that the radius the earth is 4000 miles.

a) How fast is the earth moving at the equator?

b) How fast is the earth moving at 60° North latitude?

3. (15 pt) Find the following values without a calculator.

a) b) c)

d)

e)

4. (18 pt) Assume that = and that . Find all the trigonometric functions at . In what quadrant does lie?

5. (12 pt) a) Sketch the graph of the function

b) What is the amplitude?

c) What is the period?

1

6. (20 pt) Find all the trigonometric

functions for the angle q.

q

?

7. (15 pt) The sun is straight overhead at noon at your house and sets at 6pm. There is a telephone pole in your front yard. You measure the shadow and find it to be 103.92 ft. You look at your watch and notice that it is 4pm. How tall is the pole?