# Trigonometry and Precalculus, College of the Desert

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 Author: Mattyj1388 ID: 87384 Filename: Trigonometry and Precalculus, College of the Desert Updated: 2011-06-23 18:23:09 Tags: Math005 trig precal Folders: Description: general formulas and definitions from: James Stewarts Trigonometry and Precalculus, custom edition for College of the Desert Show Answers:

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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).

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