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NAME _____________________________ DATE _______________ PERIOD ________ 7-3 Practice Sum and Difference Identities Use sum or difference identities to find the exact value of each trigonometric function. 5p } 1. cos } 12 2. sin (21658) 3. tan 3458 4. csc 9158 7p } 5. tan 12} 12 2 p} 6. sec } 12 p } and 0 , y , }} . Find each exact value if 0 , x , }p 2 2 7. cos (x 1 y) if sin x 5 }15} and sin y 5 }45} 3 8. sin (x 2 y) if cos x 5 }18} and cos y 5 }35} 7 9. tan (x 2 y) if csc x 5 }153} and cot y 5 }43} Verify that each equation is an identity. 10. cos (1808 2 u) 5 2cos u 11. sin (3608 1 u) 5 sin u 12. Physics Sound waves can be modeled by equations of the form y 5 20 sin (3t 1 u). Determine what type of interference results when sound waves modeled by the equations y 5 20 sin (3t 1 908) and y 5 20 sin (3t 1 2708) are combined. (Hint: Refer to the application in Lesson 7-3.) © Glencoe/McGraw-Hill 282 Advanced Mathematical Concepts