I need # 56 and 57 answered. for number 56 the title is solving trigonometric equations by factoring and it wants you to solve equation. steps must be shown for both examples.

ll. 13. 15. V5 8.60s9:2 10. sin9=-D.3 12. cos=l132 l4. m9=1 16. m9 : - 1724 I Solving Basic Trigonometric Equations Solve the given equation, and list six specic solutions. M17. ems : -3? 2 19. sin9=*\\;_w $.21. one a : 0.23 lb~23. m 9 = 10 l 18. cussE 20. sin9=- 22. [3119 : 2.5 24. sine = -0.9 2538 I Solving Trigonometric Equations Find all solutions of thegivenequation. 25. 0039+ 1 =0 M27. Vinna+ 1=o mums1:0 31. 3m29 1 =0 \\33. nos'a 1 : o 35. tattle-4:0 37. secz 2=0 26.5in9+1=0 28. VieDsB-l=0 3i).4eos+1=0 32. cot9+1=0 34.4m293:0 36.9sin20-1:D moses4:0 3956 I Solving Trigonometric Equations by Fadming Solve the given equation. 56. 4CDssin9+3ws3=0 APPLICATIONS 57. BefraclionofLight Ithas beenobserved since ancienttimes that light refracts, or \"bends." as it travels from one medium to another (from air to water, for example). va1 is the speed ofligln in one medium and 1'2 is its speed in enumermedium, then according to Snell's Law, sin 9, pl sin 92 _ r22 whene 0. is the angle of incidence and 91 is the angle of refineries: (see the gure). The number 01/92 is called the indexafrqucon. Theindexofreacon fmseveralsub stances is given in the table. lfa ray oflight passes through the surface nfalakeat an angle of incidence of 10", what is the angle of refraction? . Total internal Reection When light passes from a more- dense to a less-dense mediumfrom glass to air, for examplethe angle of refraction predicted by Snell's Law (see Exercise 57) can be 90" or larger. [:1 this case the light beam is actually reected back into the denser medium. Tm- \"emu\"...m...' mama .n...t :_._.__..1__.n_....:.._ :. a