Exam 1 Study Guide - Plane Trigonometry | MATH 128, Exams of Trigonometry

Material Type: Exam; Professor: Hansen; Class: Plane Trigonometry; Subject: Mathematics; University: West Virginia University; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/01/2009

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Exam 1 Study Guide
You will have one hour to complete the exam, which consists of 15 problems on
eCampus, kind of like the ones you’re used to for WeBWorK assignments. The first four
of the problems are algebra review problems, problem 5 asks about both algebraic as well
as trigonometric functions, and the remaining are purely trigonometry problems. There
are two essay questions on the exam asking you to articulate a concept in your own words
(one algebra, one trig).
You must attend the lab for which you are registered.
Do not forget to bring your WVUID. No other form of ID will be sufficient. You will not
be allowed in the lab without a positive WVUID!
To prepare yourself for the exam, you should be doing lots of problems today as well and
reading through the textbook sections that are covered (that would be 1.1, 1.9, 2.1, 2.4,
2.6, and 6.1 – 6.4) and the class notes.
Here is a list of topics for you. They may not all be on the exam, but you should know
them all.
Know your quadrants for both algebraic functions and trigonometric functions.
That is, where are x, y, sine, cosine, tangent, cotangent, secant and cosecant
positive? Where are they negative?
Do you know how to compute the distance between two points? Can you use it
for circle problems that involve radius or diameter?
Can you find the intercepts of a function?
Given the center and radius (or a point on the circle), you should be able to come
up with both forms of the equation of the circle. And, vice versa (i.e., given the
equation in either form, can you find the center and radius?) Can you come up
with other points on the same circle?
Know what the domain and range of a function mean and how to find them for
functions as well as graphs.
Can you tell whether a function, given as a formula or a graph, is even, odd, or
neither? Do you know what that means for symmetry?
Know what these terms mean for graphs of functions: increasing, decreasing,
local maximum and minimum.
Can you identify what type of function you’re looking at when it’s given as a
formula? As a graph?
Can you easily convert between radians and degrees?
Are you thinking in radians? If so, then you should be able to convert
6
13
π
to
degrees quickly without a calculator.
pf2

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Exam 1 Study Guide

You will have one hour to complete the exam, which consists of 15 problems on eCampus, kind of like the ones you’re used to for WeBWorK assignments. The first four of the problems are algebra review problems, problem 5 asks about both algebraic as well as trigonometric functions, and the remaining are purely trigonometry problems. There are two essay questions on the exam asking you to articulate a concept in your own words (one algebra, one trig).

You must attend the lab for which you are registered.

Do not forget to bring your WVUID. No other form of ID will be sufficient. You will not be allowed in the lab without a positive WVUID!

To prepare yourself for the exam, you should be doing lots of problems today as well and reading through the textbook sections that are covered (that would be 1.1, 1.9, 2.1, 2.4, 2.6, and 6.1 – 6.4) and the class notes.

Here is a list of topics for you. They may not all be on the exam, but you should know them all.

  • Know your quadrants for both algebraic functions and trigonometric functions. That is, where are x, y, sine, cosine, tangent, cotangent, secant and cosecant positive? Where are they negative?
  • Do you know how to compute the distance between two points? Can you use it for circle problems that involve radius or diameter?
  • Can you find the intercepts of a function?
  • Given the center and radius (or a point on the circle), you should be able to come up with both forms of the equation of the circle. And, vice versa (i.e., given the equation in either form, can you find the center and radius?) Can you come up with other points on the same circle?
  • Know what the domain and range of a function mean and how to find them for functions as well as graphs.
  • Can you tell whether a function, given as a formula or a graph, is even, odd, or neither? Do you know what that means for symmetry?
  • Know what these terms mean for graphs of functions: increasing, decreasing, local maximum and minimum.
  • Can you identify what type of function you’re looking at when it’s given as a formula? As a graph?
  • Can you easily convert between radians and degrees?
  • Are you thinking in radians? If so, then you should be able to convert 136 π^ to degrees quickly without a calculator.
  • Are you able to use the arclength and sector area formulas to solve for any of the variables? Are you sticking to radians (I hope so)?
  • Can you use the definitions of the trig functions (SOHCAHTOA) to compute any of the six functions for an angle in Q1?
  • Can you use the complimentary angle theorem?
  • Can you find the other 5 trig functions (by using the Pythagorean Theorem) if you’re given one of them for an angle? Can you do it if you’re given a right triangle with some missing information?
  • Do you know how to find the trig functions of an angle defined by a point?
  • Do you know the trig functions for all of the special angles in Q1? Can you do it quickly? Are you converting radians to degrees to do it (you shouldn’t be)?
  • Can you use a calculator to find the trig functions for a non-special angle? You’re not using cos-1x, sin-1x, or tan-1x, are you?
  • You should be able to find the reference angle for any special angle in quadrants 2, 3, or 4 and use it to find the 6 trig functions for it. You’re not converting radians to degrees, are you?