Find the exact value of each expression. (Example 3) 11. tan 435 - tan 13% 1 + tan 43" tan 132 12. cos 12 cos # + sin 17 21 13. sin 15" cos 75" + cos 15' sin 75% 14. sin = cos 12 - cos - sin 12 15. cos 40' cos 20" - sin 40 sin 20% 16. tan 48" + tan 12" 1 - tan 48' tan 12 Simplify each expression. (Example 3 17, tan 2# - tan a 1 + tan 29 tan & 10. cos , cos x + sin , sin x 19. sin 3y cosy + cos 3y sin y 20. cos 2x sin x - sin 2x cos x 21. cos r cos 2x + sin I sin 2x 22. tan 50 + tan of ta 50 tan 8 - 1 23 SCIENCE An electric circuit contains a capacitor, an inductor, and a resistor. The voltage drop across the inductor is given by V, = lul cos (at + # ), where I is the peak current, w is the frequency, L is the inductance, and * is time. Use the cosine sum identity to express VI as a function of sin and. (Example 3) Write each trigonometric expression as an algebraic expression. (Example 4) 24. sin (arcsin x + arccos x) 25. cos (sin 1 x + cos-1 2x) 26. cos sin 1 x - tan-1 V3 27. sin sin-1V3 -tar 2 - tan- x) 28. cos (arctan V3 - arccos x) 29. tan (cos 1 x + tan-1x) 30. tan (sin 1 1 - cos-1 x] 31. tan (sin 1 x + ) Verify each cofunction identity using one or more difference Identities. (Example 5) 32. tan ( - x) = cot x 33. sec - x = CSC X 34. cool - x - tan x connectED.mcgraw-hill.com 341