Trigonometry and Precalculus, College of the Desert

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Trigonometry and Precalculus, College of the Desert
2011-06-23 18:23:09
Math005 trig precal

general formulas and definitions from: James Stewarts Trigonometry and Precalculus, custom edition for College of the Desert
Show Answers:

  1. Line Segments
    Line Segments: is a straight line from point A to point B; denoted by AB(with a line above it).

  2. Endpoints
    Endpoints: Are the ponts in which the line hits and stops. (rather then a line that passes through the point).
  3. Half-line
    Half Line or Ray: Is where you will have one endpoint and the the line segment passes through the pther point. (Donatred with AB with ---> above the AB).
  4. Angle
    Angle: An angle is formed by two rays with a common endpoint.
  5. Vertex
    Vertex: A vertex is a common endpoint.
  6. Initial Side
    Initial Side: By keeping one ray of the angle fixed, it becomes the Initial Side.
  7. Terminal Side
    Terminal Side: is the second ray that we allow to rotate to from an angle.
  8. Degrees
    Degrees: One of the units of measure used for angles.
  9. Acute Angle
    Acute Angle: An angle measuing less than 90o.
  10. Right Angle
    Right Angle: An angle that measures exactly 90o.
  11. Obtuse Angle
    Obtuse Angle: An angle that measures between 90o and 180o (but NOT including).
  12. Straight Angle
    Straigh Angle: An angle that measures exactly 180o.
  13. Perpendicular Lines
    Perpendicular Lines: Lines that intersect at right (90o) angles.
  14. Complementary
    Complementary: are angles that when added will give a right (90o) angle.
  15. Supplementary
    Supplementary: Angles that when added will give a straight angle (180o).
  16. Vertical Angles
    Verticle Angles: Occure when two lines overlap resulting in 4 angles between the two lines, (as seen in the picture) the oppisite angles will always equal one another (<1+<2 = 180o; <2+<4 = 180o, therefore <1 must =<4 and by result <2 must =<3). These angles are what we call vertical Angles (the angles oppisit from one another).
  17. Parallel Lines
    Parallel Lines: Are lines that have the same slope but different intercepts, meaning that they will never touch.
  18. Transversal
    • Transversal: A line that crosses any parralel lines is said to be trasnversal.
    • Note: These will also than give us vertical Angles for each parrallel line that it crosses.
  19. Corresponding Angles
    Corresponding Angles: Are angles that are the same value because they are the same position on one line while on a seperate but parallel line. (Please see picture above).
  20. Alternate Interior Angles
    Alternate Interior Angles: Are angles in the oppisite position that has to be the same value do to Vertical angles and corresponding angles. (Please see picture above).