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Alg2 lesson 13-3
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Alg2 lesson 13-3

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Alg2 lesson 13-3 Presentation Transcript

  • 1. Find the exact values of the six trigonometricfunctions of  if the terminal side of  contains the point (8, –15).
    8
    -15
    r
    (8, -15)
    Example 3-1a
  • 2. 8
    -15
    17
  • 3. x
    y
    r
    (x, y)
  • 4. (-3, 4)
    Find the exact values of the six trigonometricfunctions of  if the terminal side of  contains the point (–3, 4).
    5
    4
    -3
    x = -3
    y = 4
    r = 5
    = 5
    4
    3
    Example 3-1b
  • 5. Sketch 330. Then find its reference angle.
    330 = 180 + 150
    = 180 + 90 + 60
    The reference angle is 360 –330 or 30.
    Example 3-3a
  • 6. Sketch . Then find its reference angle.
    The reference angle is
    Example 3-3a
  • 7. In which quadrants is each trig function positive?
    sin
    sin
    pos
    ALL
    cos
    tan
    pos
    (pos, pos)
    (neg, pos)
    pos
    (pos, neg)
    (neg, neg)
    cos
    tan
    pos
    pos
    neg
    pos
    neg
    r is always positive
  • 8. Find the exact value of .
    135 = 90 + 45
    A
    S
    T
    C
    Example 3-4a
  • 9. Find the exact value of .
    135 = 90 + 45
    pos
    pos
    Example 3-4a
  • 10. Find the exact value of
    A
    S

    =
    T
    C
    Example 3-4a
  • 11. Suppose is an angle in standard position whoseterminal side is in Quadrant III and
    Find the exact values of the remaining five
    Trigonometric functions of .
    hyp
    opp
    -4
    -3
    5
    Example 3-5a
  • 12. =
    hyp
    opp
    -4
    -3
    5
    Example 3-5a