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Math 120 Quiz # 1 Review
April 19, 2012
Hi everyone! Enjoy this review sheet! The quiz is Thursday, April 26th, and covers the sections
below. Again, this review sheet is meant as something which focuses your thoughts toward studying
the material that Corey finds most interesting. Rock on!
1. Section 6.1: Angles. This section is mainly concerned with understanding what exactly an
angle is, and how to measure it. There are two main ways: using degrees and using radians.
Corey suggests that you know how to translate between radians and degrees. Knowing some
vocabulary such as coterminal, and even what a radian is defined to be would be helpful (in
particular, knowing how to find angles that are coterminal to one another (for example, how
would you find an angle θ that is between 0 and 2π radians that is coterminal with 15π
2 ?)
Knowing and being able to use the formulae for arc length of a circular arc and the area of a
circular sector will be important for the quiz.
2. Section 6.2: Trigonometric Functions of Angles. We learned what each of the 6 common
trig functions are, and practiced finding their values, solving triangles, finding the height of
flagpoles, learning the Pythagorean identities and proving that certain equations are identities,
and how to even compute the values of the 6 basic trig functions on any real number, not just
angles that are found in right triangles. We also learned about some special triangles (those
that have angles of π/3, π/6 or π/4) and the trig functions evaluated at those angles.
3. Section 6.3: Trigonometric Functions of Real Numbers. This section really just talks about a
new kind of identity (see the “formulas for negatives” on page 399), the “periodicity” of these
trig functions (page 398), and the graphs of each of the 6 trig functions.
4. Section 6.4: Values of the Trigonometric Functions. Here, we’ve learned just about everything
there is to know in this section except the inverse trig functions. In class, we learned that the
arcsin and arccos functions spit out answers in different ranges (it’s [π/2, π, 2] for arcsin, and
[0, π] for arccos). I would know how to compute these values, and the homework is a great
place to start: know how to do all of the homework really well!
5. General Suggestions: I can say that my biggest suggestion is that I think you should overprepare. I know that sounds like I’m suggesting you do more work for the sake of doing work, but
if you take my advice, you won’t be “surprised” by any concepts that the quiz asks about.
In fact, since the quiz asks the same sorts of questions that the exam will ask (the exam
will ask more, and will also cover more sections to be described in a future review sheet), by
studying really hard now, they payoff will be twice as much, in that you’ll be ready for the
exam that much more. Not to mention you’ll be that much more prepared for the rest of the
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course. So please, please, please: work on the homework, quiz yourself with it, and be more
prepared than you think you should be. If you overprepare a little, that’s MUCH better than
underpreparing a little. And of course as always: come to my office hours if you have any
questions you need help with. Finally: I have posted a list of homework questions onto the
course website: These are the homework questions for the sections that the quiz will cover,
and Corey forgot to list those in class today. So check out that link on the course website to
get those homework questions. Oh, and Rock on!
6. Other suggestions: Rock on!
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