Contents xiii 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 443 Graph the Tangent Function = y x tan and the Cotangent Function = y x cot • Graph Functions of the Form ω( ) = + y A x B tan and ω( ) = + y A x B cot • Graph the Cosecant Function = y x csc and the Secant Function = y x sec • Graph Functions of the Form ω( ) = + y A x B csc and ω( ) = + y A x B sec 6.6 Phase Shift; Sinusoidal Curve Fitting 451 Graph Sinusoidal Functions of the Form ω φ ( ) = − + y A x B sin • Build Sinusoidal Models from Data Chapter Review 462 Chapter Test 468 Cumulative Review 469 Chapter Project 470 7 Analytic Trigonometry 471 7.1 The Inverse Sine, Cosine, and Tangent Functions 472 Define the Inverse Sine Function • Find the Value of an Inverse Sine Function • Define the Inverse Cosine Function • Find the Value of an Inverse Cosine Function • Define the Inverse Tangent Function • Find the Value of an Inverse Tangent Function • Use Properties of Inverse Functions to Find Exact Values of Certain Composite Functions • Find the Inverse Function of a Trigonometric Function • Solve Equations Involving Inverse Trigonometric Functions 7.2 The Inverse Trigonometric Functions (Continued) 487 Define the Inverse Secant, Cosecant, and Cotangent Functions • Find the Value of Inverse Secant, Cosecant, and Cotangent Functions • Find the Exact Value of Composite Functions Involving the Inverse Trigonometric Functions • Write a Trigonometric Expression as an Algebraic Expression 7.3 Trigonometric Equations 493 Solve Equations Involving a Single Trigonometric Function • Solve Trigonometric Equations Using a Calculator • Solve Trigonometric Equations Quadratic in Form • Solve Trigonometric Equations Using Fundamental Identities • Solve Trigonometric Equations Using a Graphing Utility 7.4 Trigonometric Identities 503 Use Algebra to Simplify Trigonometric Expressions • Establish Identities 7.5 Sum and Difference Formulas 511 Use Sum and Difference Formulas to Find Exact Values • Use Sum and Difference Formulas to Establish Identities • Use Sum and Difference Formulas Involving Inverse Trigonometric Functions • Solve Trigonometric Equations Linear in Sine and Cosine 7.6 Double-angle and Half-angle Formulas 524 Use Double-angle Formulas to Find Exact Values • Use Double-angle Formulas to Establish Identities • Use Half-angle Formulas to Find Exact Values 7.7 Product-to-Sum and Sum-to-Product Formulas 535 Express Products as Sums • Express Sums as Products Chapter Review 539 Chapter Test 542 Cumulative Review 543 Chapter Project 544
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