Lecture: Angle Measure

Pagbuo ng Anggulo

• Anggulo ay nabubuo sa pamamagitan ng pag-ikot ng ray sa kanyang endpoint.
• Initial Side: Side OA
• Terminal Side: Side OB
• Counterclockwise Rotation: Positive measurement
• Clockwise Rotation: Negative measurement

Anggulo sa Standard Position

• Anggulo sa standard position:
  • Vertex sa origin
  • Initial side sa positive x-axis
• Halimbawa: Anggulo alpha, theta, beta (lahat ay nasa standard position)
  • Alpha at theta: Counterclockwise (+)
  • Beta: Clockwise (-)

Pagsukat ng Anggulo sa Cartesian Plane

• Kung ang terminal side ay tumapat sa:
  • Positive x-axis: 0 degrees
  • Positive y-axis: 90 degrees
  • Negative x-axis: 180 degrees
  • Negative y-axis: 270 degrees
• Isang Revolution: 360 degrees
• Clockwise rotations:
  • Negative y-axis: -90 degrees
  • Negative x-axis: -180 degrees
  • Positive y-axis: -270 degrees
  • Isang Revolution: -360 degrees

Anggulo sa Iba't-ibang Kwadrant

• Quadrant 1: 0 to 90 degrees
• Quadrant 2: 90 to 180 degrees
• Quadrant 3: 180 to 270 degrees
• Quadrant 4: 270 to 360 degrees

Mga Halimbawa

Halimbawa 1

• Positive anggulo, counterclockwise rotation
• Given: 80 degrees
  • Calculation: 360 - 10 = 350 degrees

Halimbawa 2

• Negative anggulo, clockwise rotation
• Given: 20 degrees
  • Calculation: 180 + 70 = 250 degrees (-)

Halimbawa 3

• Positive anggulo, counterclockwise rotation
• Given: 170 degrees
  • Calculation: 360 + 10 = 370 degrees

Drawing Angles

• Example 1: 280 degrees
  • Counterclockwise rotation
  • Terminal side: Quadrant 4
• Example 2: -120 degrees
  • Clockwise rotation
  • Terminal side: Quadrant 3
• Example 3: 710 degrees
  • Excess rotation, Terminal side: Quadrant 4
• Example 4: 440 degrees
  • Excess rotation, Terminal side: Quadrant 1

Tips

• Gumamit ng protractor para sa mas accurate na sketch ng mga anggulo.

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Pagtatapos

• Para sa mga katanungan, i-comment ito sa ibaba.
• Salamat sa panonood!
• Prof. D