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 INTERMEDIATE ALGEBRA
 Course Syllabus for Algebra I
 MidPlains Community College
 FRACTION OF A WHOLE NUMBER
 Systems of Linear Equations
 MATH FIELD DAY
 Course Outline for Finite Mathematics
 Calculus
 Algebra Final Examination
 Math 310 Exam #2
 Review of Trigonometric Functions
 Math 118 Practice test
 Precalculus Review
 Section 12
 Literal Equations
 Calculus Term Definitions
 Math 327A Exercise 2
 Public Key Algorithms II
 Maximizing Triangle Area
 Precalculus I Review for Midterm
 REVIEW OF A FIRST COURSE IN LINEAR ALGEBRA
 Math 6310 Homework 5
 Some Proofs of the Existence of Irrational Numbers
 ALGEBRAIC PROPERTIES OF MATRIX OPERATIONS
 Math 142  Chapter 2 Lecture Notes
 Math 112 syllabus
 Math 371 Problem Set
 Complex Numbers,Complex Functions and Contour Integrals
 APPLICATIONS OF LINEAR EQUATIONS
 Week 4 Math
 Fractions
 Investigating Liner Equations Using Graphing Calculator
 MATH 23 FINAL EXAM REVIEW
 Algebra 1
 PYTHAGOREAN THEOREM AND DISTANCE FORMULA
 Georgia Performance Standards Framework for Mathematics  Grade 6
 Intermediate Algebra
 Introduction to Fractions
 FACTORINGS OF QUADRATIC FUNCTIONS
 Elementary Algebra Syllabus
 Description of Mathematics
 Integration Review Solutions
 College Algebra  Applications
 A Tip Sheet on GREATEST COMMON FACTOR
 Syllabus for Elementary Algebra
 College Algebra II and Analytic Geometry
 Functions
 BASIC MATHEMATICS
 Quadratic Equations
 Language Arts, Math, Science, Social Studies, Char
 Fractions and Decimals
 ON SOLUTIONS OF LINEAR EQUATIONS
 Math 35 Practice Final
 Solving Equations
 Introduction to Symbolic Computation
 Course Syllabus for Math 935
 Fractions
 Fabulous Fractions
 Archimedean Property and Distribution of Q in R
 Algebra for Calculus
 Math112 Practice Test #2
 College Algebra and Trigonometry
 ALGEBRA 1A TASKS
 Description of Mathematics
 Simplifying Expressions
 Imaginary and Complex Numbers
 Building and Teaching a Math Enhancement
 Math Problems
 Algebra of Matrices Systems of Linear Equations
 Survey of Algebra
 Approximation of irrational numbers
 More about Quadratic Functions
 Long Division
 Algebraic Properties of Matrix Operation
 MATH 101 Intermediate Algebra
 Rational Number Project
 Departmental Syllabus for Finite Mathematics
 WRITTEN HOMEWORK ASSIGNMENT
 Description of Mathematics
 Rationalize Denominators
 Math Proficiency Placement Exam
 linear Equations
 Description of Mathematics & Statistics
 Systems of Linear Equations
 Algebraic Thinking
 Study Sheets  Decimals
 An Overview of Babylonian Mathematics
 Mathematics 115  College Algebra
 Complex Numbers,Complex Functions and Contour Integrals
 Growing Circles
 Algebra II Course Curriculum
 The Natural Logarithmic Function: Integration
 Rational Expressions
 QUANTITATIVE METHODS
 Basic Facts about Rational Funct
 Statistics
 MAT 1033 FINAL WORKSHOP REVIEW
 Measurements Significant figures
 PreCalculus 1
 Compositions and Inverses of Functions
Review of Trigonometric Functions
Trigonometric Identities [Note that sin^{2}θ is used to represent (sinθ)^{2}.]  
Pythagorean Identities:  Reduction Formulas:  
Sum or Difference of Two Angles:  Half–Angle Formulas:  Double–Angle Formulas:  
Law of Cosines:  Reciprocal Identities:  Quotient Identities:  
Evaluating Trigonometric Functions There are two ways to evaluate trigonometric functions: (1) decimal approximations with a calculator (or a table of trigonometric values) and (2) exact evaluations using trigonometric identities and formulas from geometry. When using a calculator to evaluate a trigonometric function, remember to set the calculator to the appropriate mode—degree mode or radian mode. EXAMPLE 2 Exact Evaluation of Trigonometric Functions 

The angle π/3 in standard position

Evaluate the sine, cosine, and tangent of π/3. Solution Begin by drawing the angle in standard position, as shown in Figure D.32. Then, because radians, you can draw an equilateral triangle with sides of length 1 and θ as one of its angles. Because the altitude of this triangle bisects its base, you know that Using the Pythagorean Theorem, you obtain Now, knowing the values of x, y, and r, you can write the following. NOTE All angles in this text are measured in
radians unless stated otherwise. For example, Common First Quadrant Angles The quadrant signs for the sine, cosine, and
tangent functions are shown in Figure Similarly, because the reference angle for 330° is
30° and the tangent is negative in Figure D.35 
Common angles


Quadrant signs for trigonometric functions 

EXAMPLE 3 Trigonometric Identities and Calculators  
Evaluate the trigonometric expression. Solution b. Using the reciprocal identity you can write c. Using a calculator, you can obtain Remember that 1.2 is given in radian measure.
Consequently, your calculator must Solving Trigonometric Equations You can write this infinite solution set as is { nπ :n an integer } 
EXAMPLE 4 Solving a Trigonometric Equation  
Solution
points of

Solve the equation
Solution To solve the equation, you should
consider that the sine is negative in Thus, you are seeking values of θ in the
third and fourth quadrants that have a reference and By adding integer multiples of 2π to each of these
solutions, you obtain the following ,where n is an integer. (See Figure D.36.) 