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39 Cards in this Set
- Front
- Back
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standard position
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an angle with its vertex at the origin and its initial side lies on the positive x-axis
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quadrantal angle
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angle in standard position whose terminal axis lies on an axis
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1st quadrantal angle
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angle in standard position whose terminal side is in Q1
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2nd quadrantal angle
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angle in standard position whose terminal side is in Q2
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3rd quadrantal angle
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angle in standard position whose terminal side is in Q3
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4th quadrantal angle
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angle in standard position whose terminal side is in Q4
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central angle
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angle whose vertex is at the center of a circle
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radian
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measure of a central angle whose intercepted arc is equal in length to the radius of the circle
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arc length formula
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S = r (theta)
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average speed
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distance traveled divided by time elapsed
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angular speed
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angle swept out in 1 unit of time by a segment from center of circle to pt. on curcumference
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linear speed
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distance traveled in 1 unit of time by pt. on circumference of a circle
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exact value
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a value that is not a decimal approxiamation
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unit circle
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circle with radius 1
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Sin (theta)
Unit Circle |
y
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Cos(theta)
Unit Circle |
x
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tan(theta)
unit circle |
y/x
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csc(theta)
unit circle |
1/y
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sec(theta)
unit circle |
1/x
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cot(theta)
unit circle |
x/y
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sin(theta)
coord. system |
y/r
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cos(theta)
coord. system |
x/r
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tan(theta)
coord. system |
y/x
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csc(theta)
coord. system |
r/y
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sec(theta)
coord. system |
r/x
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cot(theta)
coord. system |
x/y
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sin(theta)
rt. triangle |
opp/hyp
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cos(theta)
rt. triangle |
adj/hyp
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tan(theta)
rt. triangle |
opp/adj
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csc(theta)
rt. triangle |
hyp/opp
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identity
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an equation which is true for all allowable values of the variable(s)
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even function
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a function f is even if f(-x) = f(x) for all x in the domain of f
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odd function
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a function f is odd if f(-x) = -f(x)
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angle of elevation
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the angle measured from the horizon to the line-of-sight (looking up)
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angle of depression
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the angle measured from the line-of-sight to the horizon (looking down)
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coterminal angles
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angles in standard position which have the same terminal side
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reference angle
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Smallest positive angle formed by the given angle (theta) and its terminal side and the x axis
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sec(theta)
rt. triangle |
hyp/adj
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cot(theta)
rt. triangle |
adj/opp
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