NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide.   Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase.   This course is a credit-bearing Precalculus Mathematics.   MyMathLab for Reasoning with Functions II is part of a series of MyMathLab courses built to support the New Mathways Project developed by the Charles A. Dana Center. The New Mathways Project embodies the Dana Center’s vision for a systemic approach to improving student success and completion through implementation of processes, strategies, and structures built around three mathematics pathways.    Reasoning with Functions II is designed for students who have completed Reasoning with Functions I and intend to take Calculus or STEM coursework that requires a thorough knowledge of functions and algebraic reasoning. Reasoning with Functions II builds students' geometric and trigonometric reasoning skills, providing opportunities to explore dynamic geometric situations as well as build and use mathematical models that incorporate trigonometric functions. The MyMathLab course designed to be used with Reasoning with Functions II provides: Interactive content to help prepare students for active classroom time In-Class Interactive Lessons to support students through an active classroom experience, accompanied by notebook PDFs  Homework assignments designed to assess conceptual understanding of important skills and concepts  Additional resources for instructors to help facilitate an interactive and engaging classroom   Built in MyMathLab Content developed by the Charles A. Dana Center at The University of Texas at Austin will be delivered through MyMathLab. MyMathLab is an online homework, tutorial, and assessment program that engages students and improves results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

Table of Contents:
Lesson 1:   Area Under a Curve and an Introduction to Optimization 1.A — Approximating Area 1.B — Optimization and Rectangles 1.C - Our Learning Community   Lesson 2:   Geometry of Triangles and the Pythagorean Theorem 2.A — Geometry of Triangles: Area 2.B — Right Triangles and Rates 2.C - Distance and Arc Length   Lesson 3:    Rates of Change: Expanding Circles and Spheres 3.A — Circles and Rates of Change 3.B — Spheres and Rates of Change 3.C - Forming Effective Study Groups   Lesson 4:    Equations of Circles 4.A — Distance on the Line 4.B — Circles 4.C — Equations of Circles   Lesson 5:    Similar Triangles, Circular Motion, and Measuring Angles 5.A — Moving Shadows 5.B — Home Improvement 5.C — You Spin Me Round   Lesson 6:   Related Rates and Optimization: Cones and Cylinders 6.A — Red Plastic Cup 6.B — Can It! 6.C — Off to a Rocky Start 6.D — A Geometric Problem   Lesson 7:   Sinusoidal Models 7.A — Modeling Tides 7.B — Pendulum Motion 7.C — Modeling Temperature Change   Lesson 8:   The Unit Circle 8.A — Constructing Sinusoids From Circles 8.B — The Sine and Cosine Functions 8.C — Special Angles 8.D — Special Values of Sinusoidal Functions   Lesson 9:   Circles and Sinusoidal Models 9.A — Non-Unit Circles 9.B — Changes in Angle and Radius 9.C — Damped Harmonic Motion Lesson 10:  Analyzing Sinusoidal Functions 10.A — Modeling the Motion of a Pendulum 10.B — Modeling Cell Phone Signals 10.C — Modeling the Vibration of a Cell Phone   Lesson 11:  Transformations of Sinusoidal Functions 11.A — Staying Current Around the World 11.B — Periodic Models With Vertical Shifts 11.C — Periodic Models With Horizontal Shifts   Lesson 12:  Describing Change In Sinusoidal Functions 12.A — Rate of Change of Sine 12.B — A Closer Look at Rate of Change of Sine 12.C — Applications of Rate of Change of Sine 12.D — Amplitude Decay of Sine Functions   Lesson 13: Right Triangle Trigonometry 13.A — From Circles to Triangles 13.B — From Circles to Triangles (Continued) 13.C — Hypotenuse Trouble 13.D — A Sine of Things to Come   Lesson 14: Inverse Trigonometric Functions 14.A — Does Inverse Cosine Exist? 14.B — Understanding the Inverse Cosine Function 14.C — Is this Ladder Safe?   Lesson 15: Solving Trigonometric Equations 15.A — Equations Involving Sine and Cosine 15.B — Solving for Obtuse Angles 15.C — Choosing the Quadrant 15.D — Solving Trigonometric Equations   Lesson 16:  The Pythagorean Identity and Polar Curves 16.A — The Pythagorean Identity 16.B — Is My Answer Right? 16.C — Polar Graphs 16.D — A Gallery of Polar Curves   Lesson 17:  Sum and Difference Identities 17.A — Angle Sum Identities 17.B — What’s the Difference? 17.C — Guitar Harmonics 17.D — In Tune   Lesson 18:  Double and Half-angle Formulas 18.A — Projectile Motion 18.B — Malus’ Law 18.C — Planetary Motion 18.D — Circular Motion   Lesson 19:  Law of Sines and Law of Cosines 19.A — The Montreal Tower 19.B — Can You Hear Me Now? 19.C — Play Ball! 19.D — Here Comes the Sun 19.E — Sines or Cosines?   Lesson 20:  Secant and Tangent Functions 20.A — The Tangent Function 20.B — Graphing the Tangent Function 20.C — The Inverse Tangent Function 20.D — The Secant Function 20.E — Identities Involving Secant and Tangent   Lesson 21: Cosecant and Cotangent Functions 21.A — The Cotangent Function 21.B — Inverting the Cotangent Function 21.C — The Cosecant Function 21.D — Inverses of Secant and Cosecant   Lesson 22: Applications of Periodic Functions 22.A — Rising Carbon Dioxide 22.B — Car Wheels 22.C — Train Wheels 22.D — Amplitude Modulation       Student Resources Overview Angle Measure Arithmetic with Fractions Combining Like Terms Coordinate Plane Dimensional Analysis Distributive Property Exponent Rules Factoring Factoring Polynomials Factoring Sums and Differences of Cubes Four Representations of Functions Geometry Graphing Technology Lines Order of Operations Parabolas and Quadratic Functions Roots and Radicals Scientific Notation Slope Solving Quadratic Equations Transformations Trigonometric Formulas Writing Principles