xii Contents 5.6 Logarithmic and Exponential Equations 336 Solve Logarithmic Equations• Solve Exponential Equations • Solve Logarithmic and Exponential Equations Using a Graphing Utility 5.7 Financial Models 345 Determine the Future Value of a Lump Sum of Money • Calculate Effective Rates of Return • Determine the Present Value of a Lump Sum of Money • Determine the Rate of Interest or the Time Required to Double a Lump Sum of Money 5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models 355 Model Populations That Obey the Law of Uninhibited Growth • Model Populations That Obey the Law of Uninhibited Decay • Use Newton’s Law of Cooling • Use Logistic Models 5.9 Building Exponential, Logarithmic, and Logistic Models from Data 366 Build an Exponential Model from Data • Build a Logarithmic Model from Data • Build a Logistic Model from Data Chapter Review 374 Chapter Test 379 Cumulative Review 380 Chapter Project 381 6 Trigonometric Functions 382 6.1 Angles, Arc Length, and Circular Motion 383 Angles and Degree Measure • Convert between Decimal and Degree, Minute, Second Measures for Angles• Find the Length of an Arc of a Circle • Convert from Degrees to Radians and from Radians to Degrees • Find the Area of a Sector of a Circle • Find the Linear Speed of an Object Traveling in Circular Motion 6.2 Trigonometric Functions: Unit Circle Approach 397 Find the Exact Values of the Trigonometric Functions Using a Point on the Unit Circle • Find the Exact Values of the Trigonometric Functions of Quadrantal Angles • Find the Exact Values of the Trigonometric Functions of π = ° 4 45 • Find the Exact Values of the Trigonometric Functions of π = ° 6 30 and π = ° 3 60 • Find the Exact Values of the Trigonometric Functions for Integer Multiples of π = ° 6 30 , π = ° 4 45 , and π = ° 3 60 • Use a Calculator to Approximate the Value of a Trigonometric Function • Use a Circle of Radius r to Evaluate the Trigonometric Functions 6.3 Properties of the Trigonometric Functions 412 Determine the Domain and the Range of the Trigonometric Functions • Determine the Period of the Trigonometric Functions • Determine the Signs of the Trigonometric Functions in a Given Quadrant • Find the Values of the Trigonometric Functions Using Fundamental Identities • Find the Exact Values of the Trigonometric Functions of an Angle Given One of the Functions and the Quadrant of the Angle • Use Even-Odd Properties to Find the Exact Values of the Trigonometric Functions 6.4 Graphs of the Sine and Cosine Functions 427 Graph the Sine Function = y x sin and Functions of the Form ω( ) = y A x sin • Graph the Cosine Function = y x cos and Functions of the Form ω( ) = y A x cos • Determine the Amplitude and Period of Sinusoidal Functions • Graph Sinusoidal Functions Using Key Points • Find an Equation for a Sinusoidal Graph
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