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66 Cards in this Set
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30˚ = _____ rad

pi/6


45˚ = _____ rad

pi/4


60˚ = _____ rad

pi/3


90˚ = _____ rad

pi/2


120˚ = _____ rad

2pi/3


135˚ = _____ rad

3pi/4


150˚ = _____ rad

5pi/6


180˚ = _____ rad

pi


210˚ = _____ rad

7pi/6


225˚ = _____ rad

5pi/4


240˚ = _____ rad

4pi/3


270˚ = _____ rad

3pi/2


300˚ = _____ rad

5pi/3


315˚ = _____ rad

7pi/4


330˚ = _____ rad

11pi/6


360˚ = _____ rad

2pi


Ray (aka HalfLine)

portion of a line that starts at point V on the line and extends indefinitely in one direction


Vertex

starting point of a ray


If 2 rays are drawn with a common vertex...

they form an angle


An angle is in standard position if?

its vertex is at the origin and its initial side coincides with the positive xaxis


The terminal side of an angle in standard position can be said to be either...

in a quadrant or a quadrantal angle (it coincides with the x or y axis)


Clockwise Rotation

denotes a negative angle


Counterclockwise Rotation

denotes a positive angle


A central angle is?

a positive angle whose vertex is the center of a circle


Linear Speed

V = S/T


Angular Speed

V = RW


Limits are used to?

control output


Derivatives are used to?

define slope


Integrals are used to?

find area


Series are used for?

computation


Reflexive Property of Equality

x=x


Symmetric Property of Equality

x=y and y=x


Transitive Property of Equality

x=y and y=z then x=z


Commutative Property of Arithmetic

given y + x you can write x + y
given xy you may write yx 

Associative Property of Arithmetic

given x+(y+z) you may write x+y+z
given x(yz) you may write xyz 

Distributive Property of Arithmetic

given x(y+z) you may write xy + xz


Identity Property of Arithmetic

given x+0 you may write x
given 1x you may write x 

Inverse Property of Arithmetic

given xx you may write 0
given x/x you may write 1 

The inverse of addition is ____?

subtraction, it is the opposite


The inverse of multiplication is _____?

division, it is the reciprocal


The parts of a sum are called?

terms


The parts of a product are called?

factors


Unit Circle

a circle whose radius is 1 and whose center is @ the origin of a rectangular coordinate system


Any circle of radius r has circumference of?

2pi*r


Sine Function

sin t = y


Cosine Function

cos t = x


Tangent Function

If x is not equal to 0 it is defined as tan t = y/x


Cotangent Function

if y does not equal zero it is defined as cot t = x/y


Secant Function

if x does not equal 0 it is defined as sec t = 1/x


Cosecant Function

if y does not equal 0 it is defined as csc t = 1/y


If x = 0...

tangent and secant are undefined


If y = 0...

cotangent and cosecant are undefined


Which two trig functions are even functions?

cosine and secant


Which two trig functions are positive in the third quadrant?

tangent and cotangent


What is the domain of a function?

the set of all permissible inputs


What is the range of a function?

the set of all possible outputs


Why are all trig functions positive in the first quadrant?

because x and y are both positive in the first quadrant


Which two functions are positive in the second quadrant?

only sine and cosecant since their definitions only use y


Which trig functions are positive in the fourth quadrant?

only cosine and secant since their definitions only use x


The range of tangent and cotangent contains?

all real numbers


If f(x) = f(x) then the function is _____.

even


If f(x) = f(x) then the function is _____.

odd


The trig functions defined using only x are _____.

even


The trig functions using only y are _____.

odd


The reciprocal of any odd function is _____.

odd


The reciprocal of any even function is _____.

even
