Chapter Review 593 Chapter Review Things to Know Formulas Law of Sines (p. 560) = = A a B b C c sin sin sin Law of Cosines (p. 570) = + − c a b ab C 2 cos 2 2 2 = + − b a c ac B 2 cos 2 2 2 = + − a b c bc A 2 cos 2 2 2 Area of a triangle (pp. 577–578) = = = = K bhK abCK bcAK acB 1 2 1 2 sin 1 2 sin 1 2 sin ( )( )( ) ( ) = − − − = + + K s s a s b s c s a b c where 1 2 Objectives Section You should be able to . . . Example(s) Review Exercises 8.1 1 Find the value of trigonometric functions of acute angles using right triangles (p. 546) 1, 2 1, 2, 27 2 Use the complementary angle theorem (p. 548) 3 3–5 3 Solve right triangles (p. 548) 4, 5 6, 7, 27 4 Solve applied problems (p. 549) 6–12 28–31, 36–38 8.2 1 Solve SAA or ASA triangles (p. 560) 1, 2 8, 19 2 Solve SSA triangles (p. 561) 3–5 9, 10, 12, 16, 18 3 Solve applied problems (p. 563) 6, 7 32, 33 8.3 1 Solve SAS triangles (p. 571) 1 11, 15, 20 2 Solve SSS triangles (p. 571) 2 13, 14, 17 3 Solve applied problems (p. 572) 3 34 8.4 1 Find the area of SAS triangles (p. 577) 1 21, 22, 26, 35 2 Find the area of SSS triangles (p. 578) 2 23, 24 8.5 1 Build a model for an object in simple harmonic motion (p. 583) 1 39 2 Analyze simple harmonic motion (p. 585) 2 40, 41 3 Analyze an object in damped motion (p. 586) 3 42, 43 4 Graph the sum of two functions (p. 588) 4, 5 44 Review Exercises In Problems 1 and 2, find the exact value of the six trigonometric functions of the angle θ in each figure. 1. u 3 4 2. u 2 4 In Problems 3–5, find the exact value of each expression. Do not use a calculator. 3. ° − ° cos62 sin28 4. ° ° sec55 csc35 5. ° + ° cos 40 cos 50 2 2 In Problems 6 and 7, solve each triangle. 6. 10 208 A b a 7. 5 2 A B a
RkJQdWJsaXNoZXIy NjM5ODQ=