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66 Cards in this Set

  • Front
  • Back
30˚ = _____ rad
45˚ = _____ rad
60˚ = _____ rad
90˚ = _____ rad
120˚ = _____ rad
135˚ = _____ rad
150˚ = _____ rad
180˚ = _____ rad
210˚ = _____ rad
225˚ = _____ rad
240˚ = _____ rad
270˚ = _____ rad
300˚ = _____ rad
315˚ = _____ rad
330˚ = _____ rad
360˚ = _____ rad
Ray (aka Half-Line)
portion of a line that starts at point V on the line and extends indefinitely in one direction
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?
Reflexive Property of Equality
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?
The parts of a product are called?
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?
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 _____.
If f(-x) = -f(x) then the function is _____.
The trig functions defined using only x are _____.
The trig functions using only y are _____.
The reciprocal of any odd function is _____.
The reciprocal of any even function is _____.