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1903730-457208.1-8.3 Quiz Review0200008.1-8.3 Quiz ReviewPre-CalculusName________________Assignment: 4097655107950π6π3π25π67π611π62π34π35π33π2π000π6π3π25π67π611π62π34π35π33π2π0Plot the point that has the given polar coordinates. Label each point!1. 3, 5π44. -4, 2π32. 1, 7π25. 3, -13π63. -2, 5π66. -1,-7πA point P(r, θ) is given in polar coordinates. Give two other polar representations of the point, one with r < 0 and one with r > 0.7. 2,3π4 8. -1, 13π9. -4,5π410. 2,7π6Convert the polar coordinates to rectangular coordinates.11. -3,4π312. -1,-π213. 5,π14. 6,7π4Convert the rectangular coordinates to polar coordinates with r > 0 and 0≤θ<2π.15. 33,-316. -62,-6217. 7, 2418. -2, 6Convert the rectangular equation to polar form.19. y = 320. x2+y2=1Convert the polar equation to rectangular form.21. rsinθ=722. r=4secθMatch the equation with its graph (try to do this WITHOUT your calculator!).23. r=34θ24. r=3sin2θ25. r=1-3cosθ26. r=2cosθ27. r=2+2sinθ28. r2=sin2θ48234602032024860252032021717020320A.B.C. 48239641080462494280-317534671013970D.E. F. Sketch the graph of the polar equation. Make sure you create a table of values for AT LEAST the first quadrant!41008304445π6π3π25π67π611π62π34π35π33π2π000π6π3π25π67π611π62π34π35π33π2π02559054445π6π3π25π67π611π62π34π35π33π2π000π6π3π25π67π611π62π34π35π33π2π029. r=1+cosθ30. r=3sinθ3793490114300π6π3π25π67π611π62π34π35π33π2π000π6π3π25π67π611π62π34π35π33π2π0102235159385π6π3π25π67π611π62π34π35π33π2π000π6π3π25π67π611π62π34π35π33π2π031. r=2cos2θ32. r2=4sin2θ21590019685π6π3π25π67π611π62π34π35π33π2π000π6π3π25π67π611π62π34π35π33π2π0372745090170π6π3π25π67π611π62π34π35π33π2π000π6π3π25π67π611π62π34π35π33π2π033. r=θ34. r=1+3sinθWrite the complex number in polar form with argument between 0 and 2π. (To do this, you must find the modulus and the argument.)35. 4+4i36. -1-3i37. 3-iFind the product z1z2 and the quotient z1z2. Find exact values if possible!38. z1=3cosπ6+isinπ6; 39. z1=2cos75°+isin75°; 40. z1=45cos25°+isin25° z2=5cos4π3+isin4π3 z2=32cos60°+isin60°z2=15cos155°+isin155°Find the indicated power using DeMoivre’s Theorem. Find exact values if possible!41. 1-3i442. 12+32i2043. 1+i118.1-8.3 Review AnswersPre-Calculus1 – 6. See online key 7. 2, 11π4; -2, 7π4 8. -1, 15π; 1, 14π 9. 4, 9π4; -4, 13π410. 2, 19π6; -2, 13π6 11. 32, 332 12. (0, 1) 13. (-5, 0) 14. 32, -32 15. 6, 11π616. 12, 5π4 17. 25, tan-1247 18. 22, 2π3 19. r=3cscθ 20. r = 1 21. y = 7 22. x = 4549447559429003933190571500023. C 24. F 25. B 26. D 27. A 28. E 29. 30. 377825-127000221678522225005408295-3810003933106259270031.32. 33. 34. 35. z=42cosπ4+isinπ4 36. z=2cos4π3+isin4π3 37. z=2cos11π6+isin11π6 38. z1z2=-15i; z1z2=-3310+310i 39. z1z2=-32+3i2; z1z2=13cos15°+isin15°40. z1z2=-425; z1z2=4cos(-130°)+isin(-130°) 41. -8+8i3 42. -12+32i 43. -32+32i ................
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