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6.2 Answers

6.2 Answers. 17-20 . 21-28. 21. a=13.86, b=8 22. a=5, c=7.07 23. b= 5.03, c=7.83 24. a=27.47, c=29.24 25. a=5.25, b=6.04 26. a=1.04, b=3.86 27. a=16.82, c=23.38 28. a=21.10, c=32.86. 33-38. 33. 3 34. 1/5 35. 13/12 36. 4/5 37. 24/7 38. 5/7. 49-52.

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6.2 Answers

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  1. 6.2 Answers

  2. 17-20

  3. 21-28 21. a=13.86, b=8 22. a=5, c=7.07 23. b= 5.03, c=7.83 24. a=27.47, c=29.24 25. a=5.25, b=6.04 26. a=1.04, b=3.86 27. a=16.82, c=23.38 28. a=21.10, c=32.86

  4. 33-38 33. 3 34. 1/5 35. 13/12 36. 4/5 37. 24/7 38. 5/7

  5. 49-52 49. a= 12, b =12√3, c=12, d= 12 √3 50. a= (9 √3)/2, b= 4.5, c= 3 √3, d= (3 √3)/2 51. a=(14 √3)/3, b=(7 √3)/3, c= (14 √3)/3 d= (14 √6)/3 52. a=15, b=15 √2, c=10 √6, d= 5 √6

  6. 6.4: Other Trigonometric Functions and Their Graphs January 8, 2008

  7. Objectives • Learn definitions and basic trig identities • Represent other trig functions • Solve applications

  8. Trig functions of any angle x2+ y2 =r2 sin θ = y/r cos θ = x/r tan θ = y/x (when x ≠ 0) csc θ = r/y (when y ≠ 0) sec θ = r/x (when x ≠ 0) cot θ= x/y (when y ≠ 0)

  9. Find the six trig functions The point (15, -17) is located on the terminal side of an angle in standard position.

  10. Reciprocal identities sin θ = 1/csc θ cos θ = 1/sec θ tan θ = 1/cot θ csc θ = 1/sin θ sec θ = 1/cos θ cot θ = 1/tan θ

  11. Find the six trig functions sin θ = 9/41 cos θ = 40/41

  12. Quotient identities tan θ = sin θ/cos θ cot θ = cos θ/sin θ sin2θ + cos2θ=1

  13. Find the six trig functions sin θ =5/13 cos θ > 0

  14. All about tangent tan θ = y/x This is the same thing as slope! Remember zero slope and undefined slope? Tan is zero and undefined at those same values!

  15. Graph of tangent

  16. Graph of cotangent

  17. Graph of sine and cosecant

  18. Graph of cosine and secant

  19. Domain, range, period

  20. This useful image is on p. 528

  21. Assignment 1-18

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