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66 Cards in this Set
- Front
- Back
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30˚ = _____ rad
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pi/6
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45˚ = _____ rad
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pi/4
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60˚ = _____ rad
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pi/3
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90˚ = _____ rad
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pi/2
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120˚ = _____ rad
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2pi/3
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135˚ = _____ rad
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3pi/4
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150˚ = _____ rad
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5pi/6
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180˚ = _____ rad
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pi
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210˚ = _____ rad
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7pi/6
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225˚ = _____ rad
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5pi/4
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240˚ = _____ rad
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4pi/3
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270˚ = _____ rad
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3pi/2
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300˚ = _____ rad
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5pi/3
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315˚ = _____ rad
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7pi/4
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330˚ = _____ rad
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11pi/6
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360˚ = _____ rad
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2pi
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Ray (aka Half-Line)
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portion of a line that starts at point V on the line and extends indefinitely in one direction
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Vertex
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starting point of a ray
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If 2 rays are drawn with a common vertex...
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they form an angle
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An angle is in standard position if?
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its vertex is at the origin and its initial side coincides with the positive x-axis
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The terminal side of an angle in standard position can be said to be either...
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in a quadrant or a quadrantal angle (it coincides with the x or y axis)
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Clockwise Rotation
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denotes a negative angle
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Counterclockwise Rotation
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denotes a positive angle
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A central angle is?
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a positive angle whose vertex is the center of a circle
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Linear Speed
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V = S/T
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Angular Speed
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V = RW
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Limits are used to?
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control output
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Derivatives are used to?
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define slope
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Integrals are used to?
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find area
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Series are used for?
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computation
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Reflexive Property of Equality
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x=x
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Symmetric Property of Equality
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x=y and y=x
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Transitive Property of Equality
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x=y and y=z then x=z
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Commutative Property of Arithmetic
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given y + x you can write x + y
given xy you may write yx |
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Associative Property of Arithmetic
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given x+(y+z) you may write x+y+z
given x(yz) you may write xyz |
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Distributive Property of Arithmetic
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given x(y+z) you may write xy + xz
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Identity Property of Arithmetic
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given x+0 you may write x
given 1x you may write x |
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Inverse Property of Arithmetic
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given x-x you may write 0
given x/x you may write 1 |
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The inverse of addition is ____?
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subtraction, it is the opposite
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The inverse of multiplication is _____?
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division, it is the reciprocal
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The parts of a sum are called?
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terms
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The parts of a product are called?
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factors
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Unit Circle
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a circle whose radius is 1 and whose center is @ the origin of a rectangular coordinate system
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Any circle of radius r has circumference of?
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2pi*r
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Sine Function
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sin t = y
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Cosine Function
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cos t = x
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Tangent Function
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If x is not equal to 0 it is defined as tan t = y/x
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Cotangent Function
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if y does not equal zero it is defined as cot t = x/y
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Secant Function
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if x does not equal 0 it is defined as sec t = 1/x
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Cosecant Function
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if y does not equal 0 it is defined as csc t = 1/y
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If x = 0...
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tangent and secant are undefined
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If y = 0...
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cotangent and cosecant are undefined
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Which two trig functions are even functions?
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cosine and secant
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Which two trig functions are positive in the third quadrant?
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tangent and cotangent
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What is the domain of a function?
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the set of all permissible inputs
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What is the range of a function?
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the set of all possible outputs
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Why are all trig functions positive in the first quadrant?
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because x and y are both positive in the first quadrant
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Which two functions are positive in the second quadrant?
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only sine and cosecant since their definitions only use y
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Which trig functions are positive in the fourth quadrant?
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only cosine and secant since their definitions only use x
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The range of tangent and cotangent contains?
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all real numbers
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If f(-x) = f(x) then the function is _____.
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even
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If f(-x) = -f(x) then the function is _____.
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odd
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The trig functions defined using only x are _____.
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even
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The trig functions using only y are _____.
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odd
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The reciprocal of any odd function is _____.
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odd
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The reciprocal of any even function is _____.
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even
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