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Solve First Degree Trig Equations T

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Solve First Degree Trig Equations T

  1. 1. Aim: How do we solve first degree trigonometric equations? MB43 12/15/08 Lomas Do Now: In what quadrants is sin positive? In what quadrants is cos positive? In what quadrants is tan positive? HW Review: #21, 31 HW: READ pg 897-901 Do pg 902 #2-18even
  2. 2. Aim: How do we solve first degree trigonometric equations? MB43 12/15/08 Lomas Solve for cos θ : 2cos θ - 1 = 0 HW: READ pg 897-901 Do pg 902 #2-18even
  3. 3. Aim: How do we solve first degree trigonometric equations? MB43 12/15/08 Lomas What if we wanted to solve 2cos θ - 1 = 0 for θ ? We know cos θ = 1/2 and we know that cos is positive in quadrants I and IV So what can θ be? HW: READ pg 897-901 Do pg 902 #2-18even
  4. 4. Aim: How do we solve first degree trigonometric equations? MB43 12/15/08 Lomas Solve for θ in the interval 0 ≤θ≤ 2 π : cos θ = 3cos θ + 1 HW: READ pg 897-901 Do pg 902 #2-18even
  5. 5. Aim: How do we solve first degree trigonometric equations? MB43 12/15/08 Lomas Solve for θ to the nearest degree in the interval 0 o ≤θ≤ 360 o : 5(sin θ +3) = sin θ + 12 HW: READ pg 897-901 Do pg 902 #2-18even
  6. 6. Aim: How do we solve first degree trigonometric equations? MB43 12/15/08 Lomas Solve for θ to the nearest degree in the interval 0 o ≤θ≤ 360 o : 3(csc θ - 1) = csc θ + 2 HW: READ pg 897-901 Do pg 902 #2-18even
  7. 7. Aim: How do we solve first degree trigonometric equations? MB43 12/15/08 Lomas Solve for θ in the interval 0 ≤θ≤ 2 π : 2(sin θ + √ 2) = √ 2 HW: READ pg 897-901 Do pg 902 #2-18even
  8. 8. Aim: How do we solve first degree trigonometric equations? MB43 12/15/08 Lomas Solve for θ to the nearest degree in the interval 0 o ≤θ≤ 360 o : 5cos θ - 1 = 0 HW: READ pg 897-901 Do pg 902 #2-18even

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