Download Welcome to Math 112

Welcome to Math 112
Jan 4­9:54 AM
1.1 VOCABULARY REVIEW
vertex of an angle
initial side of an angle
terminal side of an angle
right angle
straight angle
obtuse angle
acute angle
supplement of an angle
complement of an angle
Sep 29­8:40 PM
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1.1 MORE VOCABULARY REVIEW
right triangle
hypotenuse
legs
Pythagorean Theorem
Jan 4­9:51 AM
What is special about a 45
o
­45 o­90 o triangle?
What is special about a 30
o
­60 o­90 o triangle?
Sep 29­8:44 PM
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On the graph place labels for each of the items in the appropriate places.
Quadrant I, Quadrant II, Quadrant III, Quadrant IV, origin
1. Give examples for coordinates of a point
a. On the y­axis
b. In quadrant 2
c. In quadrant 4
d. In quadrant 3
Dec 22­3:22 PM
General Equation of a Circle
Dec 22­3:29 PM
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Jan 4­11:54 AM
3. What is the distance formula to find the distance between two points and how is it related to the Pythagorean theorem?
4. Find the distance between (3, 5) and (­3, 3)
and illustrate it on a graph.
Dec 22­3:32 PM
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Q:
In what two quadrants do all the points have negative x­ coordinates?
Q:
In what two quadrants do all the points have negative y­coordinates?
Q:
For points ( x, y ) in quadrant 1, the ratio y/x is always positive because x and y are always positive. In what other quadrants is the ratio y/x always positive?
Q:
For points ( x, y ) in quadrant II, the ratio y/x is always negative because is negative and y is positive in quadrant II. In what other quadrant(s) is the ratio y/x always negative?
x Dec 22­3:39 PM
An angle in standard position
has its vertex on the origin and its initial side on the positive x­axis.
A positive angle
terminal side.
A negative angle
goes in counterclockwise
direction from its initial side to its goes in clockwise direction from its initial side to its terminal side.
Dec 22­3:53 PM
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8.
Label each of the terminal sides of an angle in standard position which is drawn below.
Assume these are at 30
o
intervals.
Dec 22­4:09 PM
Coterminal angles have the same terminal side when in standard position. For example, 30 o and ­330 o are coterminal angles. Angles may also be more o
than one revolution. Thus 30
and 390 o are coterminal.
9.
How many coterminal angles are there for 90°?
Dec 22­4:51 PM
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10.
i.
ii.
iii.
Name a point on the terminal side of the angle.
Find the distance from the origin to that point.
Name another angle that is coterminal with the angle you have drawn.
a.
135°
b.
225°
c.
­45°
d.
­90°
Jan 4­10:05 AM
Jan 4­12:24 PM
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