## Precalculus Worksheets

Precalculus worksheets listed alphabetically:.

- Absolute Value Inequalities
- Absolute Value of Complex Numbers
- Algebraic Solutions to Linear Systems
- Algebraic Solutions to Simultaneous Equations
- Algebraic Translations
- Applied Problems for Inequalities
- Approximations of Irrational Numbers
- Binary Operations Advanced
- Calculate Value
- Categorizing Data and Bias
- Closure Property
- Counting Principle
- Cyclic Nature of the Powers of i
- Definition of a Function
- Direct Variation
- Divide Rational Fractions
- Division of Polynomials by Monomials
- Evaluate Expressions with Fractional Exponents
- Evaluating Expressions
- Factorial Notation
- Factoring Application
- Factoring the Difference of Two Perfect Squares
- Factoring Trinomials ( a <> 1 )
- Factoring Trinomials ( a = 1 )
- Find the Intercepts
- Graphically Represent the Inverse of a Function
- Graphing Functions
- Graphing Inequalities
- Graphing Linear Inequalities
- Graphing Linear Systems
- Graphing Systems of Inequalities
- Graphs and Equations of Lines
- Graphs of Circles
- Graphs of Parabolas
- Imaginary Unit and Standard Complex Form
- Inverse Functions
- Inverse Trigonometry Functions
- Law of Cosines
- Law of Sines
- Law of Sines and the Ambiguous Case
- Linear Quadratic Systems
- Linear Systems: Write as a Linear Equation
- Linear Systems: Write as a Matrix
- Logarithm Word Problems
- Multiplication of Rational Fractions
- Multiplying and Dividing Complex Numbers
- Multiplying Polynomials
- Mutually Exclusive & Independent Events, Complement
- Operations with Radicals
- Permutations
- Polynomial Word Problems
- Probability Problems Involving AND & OR
- Properties of Real Numbers
- Properties of Real Numbers (Advanced)
- Radical Equations
- Rational and Irrational Numbers
- Single & Compound Events
- Sigma Notation and Series
- Similar Polygons: Ratio of Perimeters & Areas
- Simplifying Complex Fractions/Expressions
- Simplifying Rational (Fractional) Expressions
- Simplifying Square Roots with Negative Numbers
- Solve the Matrix Equation
- Solving Combinations of Variations
- Solving Quadratic Equations
- Solving Quadratic Equations with Complex Roots
- Solving Exponential Equations (common base)
- Solving Exponential Equations (lacking a common base)
- Solving Factorable Quadratic Equations
- Solving Fractional Equations
- Solving Linear Inequalities
- Special Right Triangles (Geometry emphasis)
- Special Right Triangles (Trigonometry emphasis)
- Standard Form of Complex Numbers
- Theoretical versus Empirical Probability
- Trigonometric Ratios
- Trigonometric Word Problems
- Undefined Algebraic Fractions
- Undefined Algebraic Fractions (Advanced)

## Math Skills You Should Master Before Learning Calculus?

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- Extrema, intervals of increase and decrease
- Power functions
- Average rates of change
- Transformations of graphs
- Piecewise functions
- Graphs, real zeros, and end behavior
- Dividing polynomial functions
- The Remainder Theorem and bounds of real zeros
- Writing polynomial functions and conjugate roots
- Complex zeros & Fundamental Theorem of Algebra
- Graphs of rational functions
- Rational equations
- Polynomial inequalities
- Rational inequalities
- Graphing exponential functions
- Exponential equations not requiring logarithms
- Exponents and logarithms
- Evaluating logarithms
- Logarithms and exponents as inverses
- Properties of logarithms
- Writing logs in terms of others
- Exponential equations requiring logarithms
- Logarithmic equations, simple
- Logarithmic equations, hard
- Graphing logarithmic functions
- Compound interest
- Angles and angle measure
- Right triangle trigonometry
- Trig functions of any angle
- Graphing trig functions
- Simple trig equations
- Inverse trig functions
- Fundamental identities
- Equations with factoring and fundamental identities
- Sum and Difference Identities
- Multiple-Angle Identities
- Product-to-Sum Identities
- Equations and Multiple-Angle Identities
- The Law of Sines
- The Law of Cosines
- Parametric equations
- Projectile motion
- Polar coordinates
- Graphs of polar equations
- Polar and rectangular forms of equations
- Polar forms of conic section
- Complex numbers and polar form
- Vector basics
- Vector operations
- Dot products
- 3D vector basics
- 3D vector operations
- Vector cross products
- Matrix operations
- Matrix inverses and determinants
- Matrix equations
- Cramer's Rule
- Multivariable linear systems and row operations
- Partial fraction decomposition
- Rotations of conic sections
- Sample spaces & Fundamental Counting Principle
- Permutations
- Combinations
- Permutations vs combinations
- The Binomial Theorem
- Mathematical induction
- Independent and dependent events
- Mutually exclusive events
- Probability with combinatorics
- Probability with combinatorics - binomial
- General sequences and series
- Arithmetic sequences and series
- Geometric sequences and series
- Power series
- Limits by direct evaluation
- Limits at kinks and jumps
- Limits at removable discontinuities
- Limits at essential discontinuities
- Limits at infinity
- Definition of the derivative
- Instantaneous rates of change
- Power rule for differentiation
- Motion along a line
- Approximating area under a curve
- Area under a curve by limit of sums
- Indefinite integrals

Spring 2020 BMCC Prof. Dr. Ivan Retamoso

Finding the Domain of a Function

Finding the Domain and Range of a Function from its Graph

Average Rate of Change of a Function

Increasing and Decreasing Functions

Arithmetic Operations with Functions

Modeling with Linear Functions

Operations with Complex Numbers

Vertex and Axis of Symmetry of a Parabola

Minimum or Maximum of a Parabola

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

The Reminder and Factor Theorem

Zeros of a Polynomial Function

Exponential and Logarithmic Equations

Trigonometric Functions of any Angle

Graph of Trigonometric Functions

Inverse Trigonometric Functions

Double-Angle and Half-Angle Formulas

Product to Sum and Sum to Product Formulas

Solving Trigonometric Equations

## Welcome to the BMCC OpenLab!

## Quiz/Tests:

- 1.1 Change in Tandem
- 1.2 Rates of Change
- 1.3 Rates of Change in Linear and Quadratic Functions
- Unit 1B Polynomial and Rational Functions
- 2.1 Change in Arithmetic and Geometric Sequences
- Unit 2B Exponential and Logarithmic Functions
- Unit 3A Trigonometric and Polar Functions
- Unit 3B Trigonometric and Polar Functions
- Unit 4A Parametrics, Vectors, and Matrices
- Unit 4B Parametrics, Vectors, and Matrices
- 1.0 Marking the Text
- 1.1 Multiple Representations
- 1.2 Linear Functions
- 1.3 Basic Factoring
- Unit 1 Review
- Unit 1 Skillz Review
- Unit 2 Skillz Review
- 2.1 Function Introduction
- 2.2 Domain & Range Graphically
- 2.3 Limits Graphically
- 2.4 Limits to Infinity
- Unit 2 Review
- Unit 3 Skillz Review
- 3.1 Discontinuity and Domain Analytically
- 3.2 Extrema
- 3.3 Piecewise FunctIons
- Unit 3 Review
- 4.1 Transformations
- 4.2 Even and Odd Functions
- 4.3 Operations with Functions
- 4.4 Inverse Functions
- Unit 4 Review
- Unit 4 Skillz Review
- Unit 5 Skillz Review
- 5.1 Operations on Polynomials
- 5.2 Polynomial Divison and Factor Theorem
- 5.3 Polynomial Graphs
- Unit 5 Review
- 6.1 Solving Rational Functions
- 6.2 Complex Fractions and Rationalizing
- 6.3 Graphing Rational Functions
- 6.4 Variation and Modeling
- Unit 6 Review
- Unit 6 Skillz Review
- 7.1 Exponential Functions
- 7.2 Logarithmic Functions
- 7.3 Exp and Log Problem Solving
- Unit 7 Review
- Unit 7 Skillz Review
- SEMESTER EXAM
- 8.1 Angles and Degrees
- 8.2 Radians
- 8.3 Velocity
- 8.4 Basic Trig Functions
- Unit 8 Review
- Unit 8 Skillz Review
- 9.1 Reference Triangles and Reciprocal Trig Functions
- 9.2 Reference and Special Triangles
- 9.3 Evaluating Trig Functions
- Unit 9 Review
- Unit 9 Skillz Review
- Unit 10 Skillz Review
- 10.1 Graphing Sine and Cosine
- 10.2 Phase Shift and Tangent
- 10.3 Reciprocal Trig Graphs
- 10.4 Inverse Trig Functions
- Unit 10 Review
- 11.1 Basic Identities and Trig Algebra
- 11.2 Negative and Pythagorean Identities
- 11.3 Sum and Difference Identities

## 11.4 Double and Half Angle Identities

- 11.5 Trigonometric Equations
- Unit 11 Review
- 12.1 Law of Sines
- 12.2 Law of Cosines
- 12.3 Area of Triangles
- Unit 12 Review
- Unit 12 Skillz Review
- 13.1 Three Dimensional Graphs
- 13.2 Polar Coordinates
- Unit 13 Review
- 14.1 Sequences, Series and Summation
- 14.2 Arithmetic and Geometric Sequences
- 14.3 The Binomial Theorem
- Unit 14 Skillz Review
- Review Unit 14
- Unit 15 Skillz Review
- 15.1 Limits Analytically
- 15.2 Definition of the Derivative
- 15.3 Power Rule
- Teacher Resources
- FlippedMath.com

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- Number Basics
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- Solving Single Variable Equations
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- The Coordinate Plane & Linear Functions
- Plane Figures
- Volumes of Solids
- Solving Equations
- Linear Equations and Inequalities
- Solving Linear Systems
- Polynomial and Quadratic Factoring
- Solving Quadratics
- Graphing Quadratics
- Radicals & Rational Exponents
- Rational Expressions
- Geometry Essentials
- Reasoning & Proofs
- Parallel & Perpendicular Lines
- Congruent Triangles
- Triangle Relationships
- Right Triangle Relationships & Trigonometry
- Quadrilaterals
- Transformations
- Perimeter, Circumference & Area
- Surface Area & Volume
- Equations & Inequalities
- Linear Equations & Functions
- Linear Systems & Matrices
- Quadratic Functions & Factoring
- Polynomials & Polynomial Functions
- Rational Exponents & Radical Functions
- Exponential & Logarithmic Functions
- Rational Functions
- Trigonometric Ratios & Functions
- Trigonometric Graphs, Identities & Equations
- Probabilities & Statistics
- Sequences & Series
- Functions & Graphs
- Polynomials, Power & Rational Functions
- Exponential, Logistic & Logarithmic Functions
- Trigonometric Functions
- Analytic Trigonometry
- Trigonometric Applications
- Systems & Matrices
- Analytic Geometry
- Discrete Mathematics
- Introduction to Calculus
- Functions, Continuity & Limits
- Derivatives
- Applications of Differentiation
- Definite Integral
- Applications of Integration
- Logarithmic & Exponential Functions
- Techniques of Integration
- Seperable Differential Equations
- Taylor’s Theorem, L’Hopital’s Rule & Improper Integrals
- Infinite Sequences & Theories
- Conic Sections & Polar Coordinates
- Curves & Vectors in the Plane
- Vectors in Space & Solid Analytic Geometry
- Partial Derivatives
- Maxima & Minima with Two or Three Variables
- Multiple Integrals
- Vector Analysis

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## Pre-Calculus

## Verifying Trigonometric Identities – Commit and Toss

You are going to let students throw paper wads or paper airplanes in your class.

The activity is used for closure during the later portion of a class period.

## Commit and Toss

## Use two different colors of paper for the expressions

## Suggested Expressions Are:

sin² θ.+ cos² θ and sec² θ - tan² θ

## Here is your FREE content for this lesson!

Verifying trigonometric identities - pdfs.

5-2 Assignment - Verifying Trigonometric Identities (FREEBIE) 5-2 Bell Work - Verifying Trigonometric Identities (FREEBIE) 5-2 Exit Quiz - Verifying Trigonometric Identities (FREEBIE) 5-2 Guided Notes SE - Verifying Trigonometric Identities (FREEBIE) 5-2 Guided Notes Teacher Edition ( Members Only ) 5-2 Lesson Plan ( Members Only ) 5-2 Online Activities ( Members Only ) 5-2 Video Lesson ( Members Only ) 5-2 Slide Show -Verifying Trigonometric Identities (FREEBIE)

## Verifying Trigonometric Identities Worksheets, Word Docs & PowerPoints

To gain access to our editable content Join the Pre-Calculus Teacher Community! Here you will find hundreds of lessons, a community of teachers for support, and materials that are always up to date with the latest standards.

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The Pythagorean Theorem – Like You’ve Never Seen It Before

The Distributive Property – Cupcakes and Algebra

Polygons in the Coordinate Plane – How to use Geogebra

Special Right Triangles – The Foundation of Everything Trig

Pythagorean Theorem – NFL and Geometry

How to Teach Simplifying Radicals

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## Precalculus H/GT Worksheet: Conics Circles - NBISD

## Pre-Calculus [Day 2] 11.2 Homework Sequences & Series Worksheet Name ...

## CALCULUS I/GRACEY PRECALCULUS REVIEW Name

## Infinite Precalculus - 1.3 Increasing and decreasing intervals

## Pre-Calculus Honors Scope and Sequence - Baldwin

## Pre-Calculus Exponential and Logarithmic Functions

## Honors Pre-Calculus 3.5 D2 Worksheet Name Exponential Decay

## Precalculus Name: Domain and Range Worksheet 1) () 2) - Von Steuben

## Trigonometric Identities Worksheet - George Mason University

## Verifying Trig Identities Worksheet

The PDF worksheet features 10 different trig identities for students to verify.

## Free PDF Download of Verifying Trig Identities Worksheet

Verifying Trig Identities Worksheet (PDF) (1694 downloads)

## IMAGES

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## COMMENTS

Precalculus Worksheets Listed Alphabetically: Absolute Value Inequalities Absolute Value of Complex Numbers Algebraic Solutions to Linear Systems Algebraic Solutions to Simultaneous Equations Algebraic Translations Applied Problems for Inequalities Approximations of Irrational Numbers Binary Operations Advanced Calculate Value

Free Printable Math Worksheets for Precalculus Created with Infinite Precalculus Stop searching. Create the worksheets you need with Infinite Precalculus. Fast and easy to use Multiple-choice & free-response Never runs out of questions Multiple-version printing Free 14-Day Trial Windows macOS Functions Continuity

Worksheets. Relations and Functions. Evaluations of Functions. The Horizontal Line Test. Finding the Domain of a Function. Finding the Domain and Range of a Function from its Graph. Piecewise Functions. Average Rate of Change of a Function. Increasing and Decreasing Functions.

Pre-Calculus 12. Calculus 12. Resources. Burnett Website; BC's Curriculum; CLE Resources ... [email protected] 604-668-6478. Navigation. Classes > Pre-Calculus 12 > PreCalculus 12 Worksheets. Selection File type icon File name Description Size Revision Time ... M12 8.2 Inverse Functions and Base 10 Problems Worksheet.pdf

List of Pre Calculus Worksheets Functions Continuity Extrema, intervals of increase and decrease Power functions Average rates of change Transformations of graphs Piecewise functions Operations Inverses Power, Polynomial, and Rational Functions Graphs, real zeros, and end behavior Dividing polynomial functions The Remainder Theorem and bounds of real zeros

Pre-Calculus 12 Pre-Calculus 12 Summer School Calculus Forums Quiz/Tests: pc_12_take_home_quiz_answers_2015.pdf ... 6.2_sum,_difference_and_double-angle_identities.pdf: File Size: 44 kb: File Type: pdf: Download File. 6.3_proving_an_identity.pdf: ... Worksheets: Pre-Calc 12 Formula Sheet. ch_1_answers.pdf: File Size: 840 kb: File Type: pdf:

11.4 Double and Half Angle Identities. Pre Calc - 11.4 Double and Half Angle Identities. Watch on.

Trig Prove each identity; 1 . 1 . secx - tanx SInX - - secx 3. sec8sin8 tan8+ cot8 sin' 8 5 .cos ' Y -sin ., y = 12" - Sin Y 7. sec2 e sec2 e-1 csc2 e Identities worksheet 3.4 name: 2. 1 + cos x = esc x + cot x sinx

Trig Identities worksheet 3.4 name: Prove each identity: 1. secx − tanxsinx = 1 secx 2. 1+ cosx sinx = cscx +cotx 3. secθsinθ tanθ+ cotθ = sin2 θ 4. secθ cosθ − tanθ cotθ =1 5. cos2 y − sin2 y = 1−2sin2 y 6. csc 2θtan2 θ−1= tan2 θ 7. sec2 θ sec2 θ−1 =csc 2θ 8. tan2 x sin x = tan2 x − sin2 x Trig Identities worksheet 3.4

Chapter 5: Section 1 Worksheet, Section 2 Worksheet, and Mid-Chapter Review Worksheet Solutions 497k: v. 4 : Apr 10, 2017, 9:45 AM: Shawn Plassmann: Ċ: HPC - Advanced Trig Identities Reference Sheet.pdf View Download 484k: v. 4 : Jun 15, 2018, 10:32 AM: Shawn Plassmann: Ċ: HPC - Chapter 5 Review - Trig Identities and Equations.pdf View Download

Proving Identities 1. Prove sin cot cos .T T T 2. Prove tan cos sin (sec cot )x x x x x . 3. Prove 2 sin co 1 os 1 s c T T T . 4. Prove tan cot sec csc .x x x x Sum and Difference Formulas 1. Find the exact value for cos75q 2. Show that cos( 2 ) cosxx S. 3. Write cos3 cos2 sin3 sin2x x x x as a single cosine. 4. If 3 sin 5 A with A in QI and 5 ...

Precalculus Worksheet 4.1-4.3 State whether the functions are polynomial functions. If so, state the degree. ... Honors Pre-Calculus 3.5 D2 Worksheet Name Exponential Decay. 19.A culture starts with bacteria. After hour, the count is . a.Find a function that models the number of bacteria after hours. Use.

Pre - Calculus Math 40S: Explained! www.math40s.com 162 TRIGONOMETRY II - LESSON TWO PART I I I THREE SPECIAL IDENTITLES sec Questions: Use the special identities to do each of the following proofs. 1) x−=tan sin cosxxx 2) cos tan sin secx xx + = x 3) tan cot sec cscx+=xxx 4) 1t+=an sec22x x

The objective of this activity is for students to familiarize themselves with degrees, radians, and how they relate to each other within a unit circle. Students should complete the worksheet first, before being given the Trigonometric Identities Reference Cheat Sheet. ***** About Me: I developed these resources to help students with Math. My notes are basically a condensed version of the topic.

Quadratic Functions & Factoring; Polynomials & Polynomial Functions; Rational Exponents & Radical Functions; Exponential & Logarithmic Functions; Rational Functions; Conics; Trigonometric Ratios & Functions; Trigonometric Graphs, Identities & Equations; Probabilities & Statistics; Sequences & Series; Pre-Calculus. Functions & Graphs

Students are given one of two trig expressions to simplify that are both equal to 1. Do not tell them they are equal to one. Have an expression for each student. There should be the same number of both expressions. Use two different colors of paper for the expressions Like expressions should be of the same color.

Honors Pre-Calculus 3.5 D2 Worksheet Name Exponential Decay. ... Trigonometric Identities Worksheet - George Mason University. Double-Angle and Half-Angle Formulas 1. If 3 sin 5 A with A in QII, find sin2A. 2. Prove (sin cos ) 1 nT T T 2 si 2 3. If 1 sin , 5 A find cos2A. 4. If.

1 Free PDF Download of Verifying Trig Identities Worksheet 2 More Resources for Teaching Trig Identities I created this Verifying Trig Identities Worksheet for my Pre-Calculus students to have some extra practice during our unit on trigonometric identities. Students are asked to verify each trig identity.

Displaying all worksheets related to - Pre Calculus Functions. Worksheets are Work 1 precalculus review functions and inverse, Graphs of polynomial functions, Functionswork, Combining functions by addition subtraction, Precalculus i curriculum guide, Work symmetries of functions, Extrema increase and decrease, Math 1a calculus work.