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Trigonometry Review

Trigonometry Review. Find sin ( p /4) = cos ( p /4) = tan( p /4) = csc( p /4) = sec( p /4) = cot( p /4) =. Evaluate tan ( p /4). Root 2 2 Root 2 /2 2 / Root 2 1. Evaluate tan ( p /4). Root 2 2 Root 2 /2 2 / Root 2 1. Trigonometry Review.

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Trigonometry Review

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  1. Trigonometry Review Find sin(p/4) = cos(p/4) = tan(p/4) = • csc(p/4) = sec(p/4) = cot(p/4) =

  2. Evaluate tan(p/4) • Root 2 • 2 • Root 2 /2 • 2 / Root 2 • 1

  3. Evaluate tan(p/4) • Root 2 • 2 • Root 2 /2 • 2 / Root 2 • 1

  4. Trigonometry Review sin(2p/3) = cos(2p/3) = tan(2p/3) = • csc(2p/3) = sec(2p/3) = cot(2p/3) =

  5. Evaluate sec(2p/3) • -1 • -2 • -3 • Root(3) • 2 / Root(3)

  6. Evaluate sec(2p/3) • -1 • -2 • -3 • Root(3) • 2 / Root(3)

  7. Evaluate cos(p/2) • -1 • -.707 • 1 • 0.0

  8. Evaluate cos(p/2) • -1 • -.707 • 1 • 0.0

  9. Evaluate sin(p/3) • - 0.5 • 0.5 • 0.707 • 0.866

  10. Evaluate sin(p/3) • - 0.5 • 0.5 • 0.707 • 0.866

  11. If y = sec(x), find y if x = 0

  12. If y = sec(x), find y if x = 0 • 1.0 • 0.1

  13. Squeeze Theorem If f(x) g(x) h(x) on an open interval containing a, and then

  14. ½ sin(x)cos(x) ½ x ½ sin(x)/cos(x) • cos(x) x/sin(x) 1/cos(x) • 1 • therefore 1

  15. Rule 4

  16. .

  17. . • 5.0 • 0.1

  18. sin(.1)= • sin(.01)= • sin(.001= • sin(.0001)= • sin(.0000001)=

  19. .

  20. . • 0.01 • 0.005

  21. Evaluate

  22. Rule 5

  23. = 0

  24. .

  25. . • 0.0 • 0.1

  26. .

  27. . • 0.0 • 0.1

  28. .

  29. . • 0.5 • 0.1

  30. Equation of Lines

  31. Equation of Lines Write the equation of a line that passes through (-3, 1) with a slope of – ½ . or or

  32. Passes through (0, 1) with a slope of -3. What is the missing blue number?

  33. Passes through (0, 1) with a slope of -3. What is the missing blue number? • 0.0 • 0.1

  34. Write the equation of the line tangent to y = x + sin(x) when x = 0given the slope there is 2. • y = 2x + 1 • y = 2x + 0.5 • y = 2x

  35. Write the equation of the line tangent to y = x + sin(x) when x = 0given the slope there is 2. • y = 2x + 1 • y = 2x + 0.5 • y = 2x

  36. Limit Algebraic Rules • Rule 1 – Plug the x xalue into the equation • If you get a/b and • b 0, the answer is a/b • b = 0 and a 0, the answer is d.n.e • you get 0/0 then go to higher rules

  37. .

  38. . • 0.0 • 0.1

  39. Limit Algebraic Rules • Rule 2 – Factor and cancel return to Rule 1 • SOAP (a3 + b3) = (a + b)(a2 – ab + b2) • Diff of 2 squares (a2 - b2) = (a + b)(a – b) • a x2 + bx + c Find two numbers whose product is ac, but add to b

  40. .

  41. . • 12.0 • 0.1

  42. Limit Algebraic Rules • Rule 1 – Plug the x xalue into the equation • If you get a/b and • b 0, the answer is a/b • b = 0 and a 0, the answer is d.n.e • you get 0/0 then go to higher rules

  43. Rule 3 – Conjugate

  44. .

  45. .

  46. . 4 • 4.0 • 0.1

  47. Limits as x goes to + or - infinity • What does y get close to as x goes to + infinity? • What does y get close to as x goes to - infinity?

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