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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 Half-Line)
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 x-axis
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 x-x 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