{"product_id":"trigonometry-workbook-for-dummies-isbn-9780764587818","title":"Trigonometry Workbook For Dummies","description":"From angles to functions to identities - solve trig equations with ease\u003cbr\u003e \u003cbr\u003e Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or worse yet, not know where to begin? No fear - this hands-on-guide focuses on helping you solve the many types of trigonometry equations you encounter in a focused, step-by-step manner. With just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You'll see how to work with angles, circles, triangles, graphs, functions, the laws of sines and cosines, and more!\u003cbr\u003e \u003cbr\u003e 100s of Problems!\u003cbr\u003e * Step-by-step answer sets clearly identify where you went wrong (or right) with a problem\u003cbr\u003e * Get the inside scoop on graphing trig functions\u003cbr\u003e * Know where to begin and how to solve the most common equations\u003cbr\u003e * Use trig in practical applications with confidence \u003cp\u003e\u003cb\u003eIntroduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAbout This Book 1\u003c\/p\u003e \u003cp\u003eConventions Used in This Book 1\u003c\/p\u003e \u003cp\u003eFoolish Assumptions 2\u003c\/p\u003e \u003cp\u003eHow This Book is Organized 2\u003c\/p\u003e \u003cp\u003ePart I: Trying Out Trig: Starting at the Beginning 2\u003c\/p\u003e \u003cp\u003ePart II: Trigonometric Functions 3\u003c\/p\u003e \u003cp\u003ePart III: Trigonometric Identities and Equations 3\u003c\/p\u003e \u003cp\u003ePart IV: Graphing the Trigonometric Functions 3\u003c\/p\u003e \u003cp\u003ePart V: The Part of Tens 4\u003c\/p\u003e \u003cp\u003eIcons Used in This Book 4\u003c\/p\u003e \u003cp\u003eWhere to Go from Here 4\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I: Trying Out Trig: Starting at the Beginning 5\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1: Tackling Technical Trig 7\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eGetting Angles Labeled by Size 7\u003c\/p\u003e \u003cp\u003eNaming Angles Where Lines Intersect 9\u003c\/p\u003e \u003cp\u003eWriting Angle Names Correctly 10\u003c\/p\u003e \u003cp\u003eFinding Missing Angle Measures in Triangles 11\u003c\/p\u003e \u003cp\u003eDetermining Angle Measures along Lines and outside Triangles 12\u003c\/p\u003e \u003cp\u003eDealing with Circle Measurements 14\u003c\/p\u003e \u003cp\u003eTuning In with the Right Chord 15\u003c\/p\u003e \u003cp\u003eSectioning Off Sectors of Circles 16\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Tackling Technical Trig 17\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2: Getting Acquainted with the Graph 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePlotting Points 21\u003c\/p\u003e \u003cp\u003eIdentifying Points by Quadrant 23\u003c\/p\u003e \u003cp\u003eWorking with Pythagoras 24\u003c\/p\u003e \u003cp\u003eKeeping Your Distance 26\u003c\/p\u003e \u003cp\u003eFinding Midpoints of Segments 27\u003c\/p\u003e \u003cp\u003eDealing with Slippery Slopes 28\u003c\/p\u003e \u003cp\u003eWriting Equations of Circles 30\u003c\/p\u003e \u003cp\u003eGraphing Circles 32\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Graphing 33\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3: Getting the Third Degree 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eRecognizing First-Quadrant Angles 37\u003c\/p\u003e \u003cp\u003eExpanding Angles to Other Quadrants 39\u003c\/p\u003e \u003cp\u003eExpanding Angles beyond 360 Degrees 40\u003c\/p\u003e \u003cp\u003eCoordinating with Negative Angle Measures 41\u003c\/p\u003e \u003cp\u003eDealing with Coterminal Angles 42\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Measuring in Degrees 43\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4: Recognizing Radian Measure 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBecoming Acquainted with Graphed Radians 45\u003c\/p\u003e \u003cp\u003eChanging from Degrees to Radians 47\u003c\/p\u003e \u003cp\u003eChanging from Radians to Degrees 49\u003c\/p\u003e \u003cp\u003eMeasuring Arcs 50\u003c\/p\u003e \u003cp\u003eDetermining the Area of a Sector 52\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Radian Measure 53\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5: Making Things Right with Right Triangles 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eNaming the Parts of a Right Triangle 57\u003c\/p\u003e \u003cp\u003eCompleting Pythagorean Triples 59\u003c\/p\u003e \u003cp\u003eCompleting Right Triangles 61\u003c\/p\u003e \u003cp\u003eWorking with the 30-60-90 Right Triangle 62\u003c\/p\u003e \u003cp\u003eUsing the Isosceles Right Triangle 64\u003c\/p\u003e \u003cp\u003eUsing Right Triangles in Applications 65\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Right Triangles 68\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II: Trigonometric Functions 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6: Defining Trig Functions with a Right Triangle 77\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eDefining the Sine Function 78\u003c\/p\u003e \u003cp\u003eCooperating with the Cosine Function 79\u003c\/p\u003e \u003cp\u003eSunning with the Tangent Definition 80\u003c\/p\u003e \u003cp\u003eHunting for the Cosecant Definition 81\u003c\/p\u003e \u003cp\u003eDefining the Secant Function 82\u003c\/p\u003e \u003cp\u003eCoasting Home with the Cotangent 83\u003c\/p\u003e \u003cp\u003eEstablishing Trig Functions for Angles in Special Right Triangles 85\u003c\/p\u003e \u003cp\u003eApplying the Trig Functions 86\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Defining Trig Functions 88\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7: Discussing Properties of the Trig Functions 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eDefining a Function and Its Inverse 93\u003c\/p\u003e \u003cp\u003eDeciding on the Domains 95\u003c\/p\u003e \u003cp\u003eReaching Out for the Ranges 97\u003c\/p\u003e \u003cp\u003eClosing In on Exact Values 98\u003c\/p\u003e \u003cp\u003eDetermining Exact Values for All Functions 99\u003c\/p\u003e \u003cp\u003eAnswers to Problems in Properties of Trig Functions 102\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8: Going Full Circle with the Circular Functions 105\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eFinding Points on the Unit Circle 105\u003c\/p\u003e \u003cp\u003eDetermining Reference Angles 108\u003c\/p\u003e \u003cp\u003eAssigning the Signs of Functions by Quadrant 111\u003c\/p\u003e \u003cp\u003eFiguring Out Trig Functions around the Clock 113\u003c\/p\u003e \u003cp\u003eAnswers to Problems in Going Full Circle 115\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III: Trigonometric Identities and Equations 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9: Identifying the Basic Identities 121\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUsing the Reciprocal Identities 121\u003c\/p\u003e \u003cp\u003eCreating the Ratio Identities 123\u003c\/p\u003e \u003cp\u003ePlaying Around with Pythagorean Identities 124\u003c\/p\u003e \u003cp\u003eSolving Identities Using Reciprocals, Ratios, and Pythagoras 127\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Basic Identities 130\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10: Using Identities Defined with Operations 135\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAdding Up the Angles with Sum Identities 135\u003c\/p\u003e \u003cp\u003eSubtracting Angles with Difference Identities 138\u003c\/p\u003e \u003cp\u003eDoubling Your Pleasure with Double Angle Identities 140\u003c\/p\u003e \u003cp\u003eMultiplying the Many by Combining Sums and Doubles 142\u003c\/p\u003e \u003cp\u003eHalving Fun with Half-Angle Identities 144\u003c\/p\u003e \u003cp\u003eSimplifying Expressions with Identities 146\u003c\/p\u003e \u003cp\u003eSolving Identities 148\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Using Identities 151\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11: Techniques for Solving Trig Identities 161\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eWorking on One Side at a Time 161\u003c\/p\u003e \u003cp\u003eWorking Back and Forth on Identities 164\u003c\/p\u003e \u003cp\u003eChanging Everything to Sine and Cosine 165\u003c\/p\u003e \u003cp\u003eMultiplying by Conjugates 167\u003c\/p\u003e \u003cp\u003eSquaring Both Sides 168\u003c\/p\u003e \u003cp\u003eFinding Common Denominators 169\u003c\/p\u003e \u003cp\u003eWriting All Functions in Terms of Just One 171\u003c\/p\u003e \u003cp\u003eAnswers to Problems Techniques for Solving Identities 173\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12: Introducing Inverse Trig Functions 185\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eDetermining the Correct Quadrants 185\u003c\/p\u003e \u003cp\u003eEvaluating Expressions Using Inverse Trig Functions 187\u003c\/p\u003e \u003cp\u003eSolving Equations Using Inverse Trig Functions 189\u003c\/p\u003e \u003cp\u003eCreating Multiple Answers for Multiple and Half-Angles 191\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Inverse Trig Functions 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13: Solving Trig Equations 195\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving for Solutions within One Rotation 195\u003c\/p\u003e \u003cp\u003eSolving Equations with Multiple Answers 197\u003c\/p\u003e \u003cp\u003eSpecial Factoring for a Solution 200\u003c\/p\u003e \u003cp\u003eUsing Fractions and Common Denominators to Solve Equations 202\u003c\/p\u003e \u003cp\u003eUsing the Quadratic Formula 205\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Solving Trig Equations 206\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14: Revisiting the Triangle with New Laws 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUsing the Law of Sines 213\u003c\/p\u003e \u003cp\u003eAdding the Law of Cosines 215\u003c\/p\u003e \u003cp\u003eDealing with the Ambiguous Case 218\u003c\/p\u003e \u003cp\u003eInvestigating the Law of Tangents 219\u003c\/p\u003e \u003cp\u003eFinding the Area of a Triangle the Traditional Way 220\u003c\/p\u003e \u003cp\u003eFlying In with Heron’s Formula 221\u003c\/p\u003e \u003cp\u003eFinding Area with an Angle Measure 222\u003c\/p\u003e \u003cp\u003eApplying Triangles 223\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Triangles 224\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV: Graphing the Trigonometric Functions 231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 15: Graphing Sine and Cosine 233\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eDetermining Intercepts and Extreme Values 233\u003c\/p\u003e \u003cp\u003eGraphing the Basic Sine and Cosine Curves 235\u003c\/p\u003e \u003cp\u003eChanging the Amplitude 236\u003c\/p\u003e \u003cp\u003eAdjusting the Period of the Curves 238\u003c\/p\u003e \u003cp\u003eGraphing from the Standard Equation 239\u003c\/p\u003e \u003cp\u003eApplying the Sine and Cosine Curves to Life 241\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Graphing Sine and Cosine 243\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 16: Graphing Tangent and Cotangent 249\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEstablishing Vertical Asymptotes 249\u003c\/p\u003e \u003cp\u003eGraphing Tangent and Cotangent 250\u003c\/p\u003e \u003cp\u003eAltering the Basic Curves 252\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Graphing Tangent and Cotangent 253\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 17: Graphing Cosecant, Secant, and Inverse Trig Functions 255\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eDetermining the Vertical Asymptotes 255\u003c\/p\u003e \u003cp\u003eGraphing Cosecant and Secant 256\u003c\/p\u003e \u003cp\u003eMaking Changes to the Graphs of Cosecant and Secant 257\u003c\/p\u003e \u003cp\u003eAnalyzing the Graphs of the Inverse Trig Functions 258\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Cosecant, Secant, and Inverse Trig Functions 261\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 18: Transforming Graphs of Trig Functions 263\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSliding the Graphs Left or Right 263\u003c\/p\u003e \u003cp\u003eSliding the Graphs Up or Down 264\u003c\/p\u003e \u003cp\u003eChanging the Steepness 266\u003c\/p\u003e \u003cp\u003eReflecting on the Situation — Horizontally 267\u003c\/p\u003e \u003cp\u003eReflecting on Your Position — Vertically 268\u003c\/p\u003e \u003cp\u003ePutting It All Together 269\u003c\/p\u003e \u003cp\u003eCombining Trig Functions with Polynomials 270\u003c\/p\u003e \u003cp\u003eAnswers to Problems on Transforming Trig Functions 272\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart V: The Part of Tens 277\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 19: Ten Identities with a Negative Attitude 279\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eNegative Angle Identities 279\u003c\/p\u003e \u003cp\u003eComplementing and Supplementing Identities 279\u003c\/p\u003e \u003cp\u003eDoing Fancy Factoring with Identities 280\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 20: Ten Formulas to Use in a Circle 281\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eRunning Around in Circles 281\u003c\/p\u003e \u003cp\u003eAdding Up the Area 281\u003c\/p\u003e \u003cp\u003eDefeating an Arc Rival 281\u003c\/p\u003e \u003cp\u003eSectioning Off the Sector 282\u003c\/p\u003e \u003cp\u003eStriking a Chord 282\u003c\/p\u003e \u003cp\u003eRinging True 283\u003c\/p\u003e \u003cp\u003eInscribing and Radii 283\u003c\/p\u003e \u003cp\u003eCircumscribing and Radii 283\u003c\/p\u003e \u003cp\u003eRighting a Triangle 284\u003c\/p\u003e \u003cp\u003eInscribing a Polygon 284\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 21: Ten Ways to Relate the Sides and Angles of Any Triangle 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eRelating with the Law of Sines 285\u003c\/p\u003e \u003cp\u003eHatching a Little Heron 286\u003c\/p\u003e \u003cp\u003eSumming Sines 286\u003c\/p\u003e \u003cp\u003eYou Half It or You Don’t 286\u003c\/p\u003e \u003cp\u003eCozying Up with Cosines 286\u003c\/p\u003e \u003cp\u003eAngling for an Angle 286\u003c\/p\u003e \u003cp\u003eMixing It Up with Cosines 286\u003c\/p\u003e \u003cp\u003eHeron Again, Gone Tomorrow 287\u003c\/p\u003e \u003cp\u003eDivide and Conquer with the Tangent 287\u003c\/p\u003e \u003cp\u003eHeron Lies the Problem 287\u003c\/p\u003e \u003cp\u003eAppendix: Trig Functions Table 289\u003c\/p\u003e \u003cp\u003eIndex 293\u003c\/p\u003e   \u003cp\u003e\u003cb\u003eMary Jane Sterling\u003c\/b\u003e has been a mathematics teacher for more than 30 years.     \u003c\/p\u003e\u003cul\u003e \u003cli\u003ePractice on hundreds of beginning-to-advanced trig problems\u003c\/li\u003e \u003cli\u003eReview key trig concepts\u003c\/li\u003e \u003cli\u003eGet complete answer explanations for all problems\u003c\/li\u003e \u003c\/ul\u003e  \u003cp\u003e\u003cb\u003e\u003ci\u003eFrom angles to functions to identities — solve trig equations with ease\u003c\/i\u003e\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eGot a grasp on the terms and concepts you need to know, but get lost halfway through a problem or worse yet, not know where to begin? No fear — this hands-on-guide focuses on helping you solve the many types of trigonometry equations you encounter in a focused, step-by-step manner. With just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You???ll see how to work with angles, circles, triangles, graphs, functions, the laws of sines and cosines, and more!  \u003c\/p\u003e\u003cp\u003e\u003cb\u003e100s of Problems!\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eStep-by-step answer sets clearly identify where you went wrong (or right) with a problem\u003cbr\u003e Get the inside scoop on graphing trig functions\u003cbr\u003e Know where to begin and how to solve the most common equations\u003cbr\u003e Use trig in practical applications with confidence  \u003c\/p\u003e\u003cp\u003e\u003cb\u003eTHE DUMMIES WORKBOOK WAY\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eQuick, refresher explanations\u003cbr\u003e Step-by-step procedures\u003cbr\u003e Hands-on practice exercises\u003cbr\u003e Ample workspace to work out problems\u003cbr\u003e Online Cheat Sheet\u003cbr\u003e A dash of humor and fun  \u003c\/p\u003e\u003cp\u003e\u003cb\u003eGet smart! @www.dummies.com\u003c\/b\u003e  \u003c\/p\u003e\u003cul\u003e \u003cli\u003eFind listings of all our books\u003c\/li\u003e \u003cli\u003eChoose from many different subject categories\u003c\/li\u003e \u003cli\u003eSign up for eTips at \u003cb\u003eetips.dummies.com\u003c\/b\u003e\n\u003c\/li\u003e \u003c\/ul\u003e","brand":"For Dummies","offers":[{"title":"Default Title","offer_id":47990414115045,"sku":"NP9780764587818","price":24.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780764587818.jpg?v=1761787733","url":"https:\/\/k12savings.com\/products\/trigonometry-workbook-for-dummies-isbn-9780764587818","provider":"K12savings","version":"1.0","type":"link"}