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Pre-Calculus HonorsSolving Trig Equations Supplement to chapter 5Verify that the x-values are solutions of the equation.1. 2cosx-1=0 A. x=π3 B. x=5π3 2. cscx-2=0 A. x=π6 B. x=5π63. 3tan22x-1=0 A. x=π12 B. x=5π124. 4cos22x-2=0 A. x=π8 B. x=7π85. 2cos2x+3cosx+1=0 A. x=4π3 B. x=π6. sec4x-3sec2x-4=0 A. x=2π3 B. x=5π3Solve the equation for x∈[0,2π).7. 2cosx+1=0 8. 2sinx+1=0 9. 3secx-2=0 10. cotx+1=0 11. 3csc2x-4=0 12. csc2x-2=0 13. 2sin2(2x)=1 14. tan23x=3 15. 4cos2x-3=0 16. cosx(cosx-1)=0 17. sin2x=3cos2x 18. (tan?(3x))tanx-1=0 19. (3tan2x-1)tan2x-3=0 20. cos?(2x)2cosx+1=0Find all solutions of the equation algebraically. 21. cos3x=cosx 22. tan2x-1=0 23. 3tan3x=tanx 24. 2sin2x=2+cosx 25. sec2x-secx=2 26. secxcscx=2cscx 27. 2sinx+cscx=0 28. sin2x=- 32 29. cscx+cotx=1 30. tan?(3x)=0 31. cosx2=22 32. sec?(4x)=2 33. 1+cosx1-cosx=0 34. 2sin2x+3sinx+1=0 35. 2sec2x+tan2x-3=0 36. cosx+sinxtanx=2 37. sec2x+tanx=3 38. csc2x-4cotx=-2Answers7. 2π3 , 4π3 8. 5π4 , 7π49. π6 , 11π610. 3π4 , 7π4 11. π3 , 2π3, 4π3 , 5π3 12. π4 , 3π4, 5π4 , 7π4 13. π8 , 3π8, 5π8 , 7π8, 9π8 , 11π8, 13π8 , 15π814. π9 , 2π9, 4π9 , 5π9, 7π9 , 8π9, 10π9 , 11π9 , 13π9 , 14π9, 16π9 , 17π915. π6 , 5π6, 7π6 , 11π6 16. 0 , π2, 3π217. π3,2π3,4π3,5π3 18. π3,2π3,4π3,5π3, π4 , 5π419. π6 , π3, 2π3 , 5π6, 7π6 , 4π3, 5π3 , 11π620. π4 , 3π4, 5π4 , 7π4,π3,4π3 21. π2+πn , πn 22. π4+πn , 3π4+πn 23. πn , π6+πn, 5π6+πn24. π2+πn , 2π3+2πn , 4π3+2πn 25. π3+2πn , 5π3+2πn , π+2πn 26. π3+πn , 5π3+πn 27. No solution 28. 7π12+πn , 11π12+πn29. π2+2πn 30. πn3 31. π2+4πn , 7π2+4πn 32. π12+πn 2 , 5π12+πn 2 33. πn 34. 7π6+2πn, 11π6+2πn, 3π2+2πn 35. π6+πn, 5π6+πn 36. π3+2πn , 5π3+2πn 37. π4+πn , arctan-2+πn 38. π4+πn , arctan13+πn ................
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