Fall 1999, Math 100
CHAPTER 7

Be sure to check back often, because assignments may change!

Due Monday 11/29 at 9am

Project 2

• Be sure to understand: what you're being asked to do.

1. None today!

Due Wednesday 12/1 at 9am

Section 7.2: Trigonometric Functions and Periodic Behavior

• To read: through the middle of page 443
• Be sure to understand: the discussion of daylight hours in San Diego, and where each of the numbers in the final formula comes from.

E-mail Subject Line: Math 100 Your Name 12/1

1. How many hours of daylight are there in San Diego on December 21?
2. What does that number represent on the graph of H(t)?
3. How does the graph of f(x)=sinx+5 differ from the graph of sinx?
4. How does the graph of g(x)=2cosx differ from the graph of cosx?
Reminders:

• Keep working on the project

Due Friday 12/3 at 9am

Section 7.2: Trigonometric Functions and Periodic Behavior

• Be sure to understand: where the numbers are coming from in the daylight in San Diego example (the vertical shift, amplitude, period, and horizontal shift).

Section 7.3: Trigonometric Relationships

• To read: through the middle of p.457
• Be sure to understand: Why cos(-x)= cos(x) and why the cosine function is said to be even; why sin(-x)= -sin(x), and why the sine function is said to be odd. On a graphing calculator compare the graphs of sin(2x) and 2sin(x)cos(x), and compare the graphs of cos(2x) and cos2(x)-sin2(x). Understand why these are called identities.

E-mail Subject Line: Math 100 Your Name 12/3

1. Simplify sin(x)+sin(-x)
2. Simplify cos(x)+cos(-x)

Reminders:

• Bring questions on PS 11 to class Friday
• Be done with the calculations for your project by Friday, so that you can begin composing a wonderfully professional letter.
• You have a quiz Thursday covering sections 4.4 through 7.3. Study!

Due Monday 12/6 at 9am

Section 7.3: Relationships Between Trigonometric Functions

• Be sure to understand: Example 1, the half-angle identity

E-mail Subject Line: Math 100 Your Name 12/6

1. Write cos(3x) using only cosines, and not including any multiple angles.
note 1: in cos(3x), 3x is a multiple angle. So you want to find an equivalent way of writing cos(3x) that involves only various powers of cos(x).

note 2: I suggest you follow Example 1. When I ask you to rewrite it using only cosines, etc., I'm not expecting that you know where you're going when you start: those are only guidelines for how you know when you've gone far enough.

Reminders:

• PS 11 is due Monday at 4pm.
• Be well on your way to a draft of your letter.
• You have a quiz Thursday, covering Sections 4.4 -7.3. This is critical material, so make sure you study!

Due Wednesday 12/8 at 9am

Section 7.4: Solving Trigonometric Equations: The Inverse Functions

• To read: all (again)--and make more sense out of it this time!
• Be sure to understand: the restriction of the domain for arcsine and arccosine, what we use inverse trig functions for.

E-mail Subject Line: Math 100 Your Name 12/8

1. On what day (I don't need the date, just the number of the day) will San Diego have 11 hours of sunlight?

Reminders:

• The "second chance" pseudo-homework on Midterm 2 (I really don't know what to call it) is due Wednesday at 4pm.
• If you haven't already signed up for a time to take the quiz Thursday, let me know.

Due Friday 12/10 at 9am

Section 7.5: The Tangent Function

• Be sure to understand: The definition of the tangent function; how it fits with the triangle trig definition of tangent (tangent = opposite/adjacent); why and where the graph of tangent has vertical asymptotes; what sec(x), csc(x), and cot(x) are.

E-mail Subject Line: Math 100 Your Name 12/10

1. Evaluate tan(Pi/4) without a calculator.
2. Evaluate tan(Pi) without a calculator.
3. Explain why the graph of tan(x) has a vertical asymptote at x=Pi/2.

Reminders:

• Project 2 's due date has been postponed to Monday at 4pm.
• Bring questions on the last problem set (which will not be due) to class.
• Be sure you're completely caught up on past problems. Begin redoing them.

Due Monday 12/13 at 9am

Review Everything

Reminders:

• Be done with all assigned problems (including, but not limited to, the last problem set)
• Your final is Saturday at 9am. I don't know where yet, check back.
• Plan on the final taking 3 hours.
• For the final, you should redo all the assigned problems (or as many as possible), redo study guide problems, review all gateways and quizzes, review (preferably redo) past midterms, and look through the review questions at the end of each chapter.

Have a wonderful Break!

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu

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