xii CONTENTS Test Prep 668 ■ Review Exercises 671 ■ Test 678 6.7 Harmonic Motion 661 Simple Harmonic Motion ■ Damped Oscillatory Motion 8 Applications of Trigonometry 771 8.1 The Law of Sines 772 Congruency and Oblique Triangles ■ Derivation of the Law of Sines ■ Using the Law of Sines ■ Description of the Ambiguous Case ■ Area of a Triangle 7 Trigonometric Identities and Equations 681 7.1 Fundamental Identities 682 Fundamental Identities ■ Uses of the Fundamental Identities 7.2 Verifying Trigonometric Identities 688 Strategies ■ Verifying Identities by Working with One Side ■ Verifying Identities by Working with Both Sides 7.3 Sum and Difference Identities 697 Cosine Sum and Difference Identities ■ Cofunction Identities ■ Sine and Tangent Sum and Difference Identities ■ Applications of the Sum and Difference Identities ■ Verifying an Identity Chapter 7 Quiz (Sections 7.1–7.3) 711 7.4 Double-Angle and Half-Angle Identities 711 Double-Angle Identities ■ An Application ■ Product-to-Sum and Sum-toProduct Identities ■ Half-Angle Identities ■ Verifying an Identity Summary Exercises on Verifying Trigonometric Identities 724 7.5 Inverse Circular Functions 724 Review of Inverse Functions ■ Inverse Sine Function ■ Inverse Cosine Function ■ Inverse Tangent Function ■ Other Inverse Circular Functions ■ Inverse Function Values 7.6 Trigonometric Equations 740 Linear Methods ■ Zero-Factor Property Method ■ Quadratic Methods ■ Trigonometric Identity Substitutions ■ Equations with Half-Angles ■ Equations with Multiple Angles ■ Applications Chapter 7 Quiz (Sections 7.5–7.6) 753 7.7 Equations Involving Inverse Trigonometric Functions 753 Solution for x in Terms of y Using Inverse Functions ■ Solution of Inverse Trigonometric Equations Test Prep 760 ■ Review Exercises 764 ■ Test 768
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