Information about the Final Exam

The final exam is sheduled on Tuesday, May 14, 8 am - 11 am, Chafee 271. The exam is going to be comprehensive and cover all of the material that we covered in the course: the parts corresponding to Exams 1,2,3, plus sections 6.1, 6.2, 6.4.

One way to prepare for the first three parts is going over old Practice Tests 1,2,3 and the actual Exams 1,2,3. Review the WeBWorK problems. You can play with the problems; the system will tell you if your anwer is right or wrong without affecting your prior score.

As far as 6.1, 6.2, 6.4 are concerned, review your WeBWorK assignments 6 and 7. Below is a mini practice test for these three sections.

For 6.1:

1) #1, #3, #5 #17, # 23 p.457, #55, # 67,# 69 p.458, (You do not have to check using grapher.)

Example 2, p. 449, Example 4, p. 451

You do have to memorize most of the trig identities in 6.1:

(A) All of those in a blue box on p. 446.

(B) The first one in the blue box on p. 448, ( ).

(C) Also, the sum and difference identities for sine and cosine (blue box p. 456, except for the last one).

You do have to remember the graphs of sin(x), cos(x), tan(x) and the values of those functions at 0, Pi/6, Pi/4, Pi/3, Pi, 3Pi/2, 2Pi, (0,30,45,60,180, 270, 360 degrees, respectively.) You may be asked to solve the following problem:

2) Using the sum and difference identities, simplify

(a) cos(x-Pi) (b) sin(x+Pi/2) (c) sin(x-Pi/4)

For 6.2

You do have to memorize the double-angle identities (blue box, p. 463). You do not have to memorize the cofunction or half-angle identities. You may want to look at

3) Example 6 (a) p. 465, #32, #33, 34 p.467. (You don't have to check using grapher.)

For 6.4

You do have to know the definitions, the graphs, and the basic properties of the inverse sine, cosine, and tangent. You have to be able to solve problems like:

4) Find without your calculator :

(a)

(b)

(c)

(d)

5) #1, #3, #5, #7, #9, #39 p. 483