3.1-3.3 Flashcards
periodic relationship
the output values demonstrate a repeating pattern over successive equal length intervals
the period of a periodic function is…
the length it takes to complete a cycle
to find the value at any point in a period…
subtract the starting value of the period and divide by the period
count in the fraction to find the value
a periodic function is also…
a horizontal translation of itself
standard position
vertex is at the origin and the initial side lies on the positive x-axis
terminal ray
the second ray of an angle in standard position (ending side)
sin
y/r
cos
x/r
tan
y/x
r
the hypotenuse
ASTC
going from Q1-Q4 which calculations will be positive?
Q1 = A = All!
Q2 = S = Sin
Q3 = T = Tan
Q4 = C = Cos
positive and negative angles
positive - up/counterclockwise
negative - down/clpckwise
a revolution
a full circle, 360 degrees
theta
arc length/radius
units for theta
radians
to find arc length
2pir/part of circle
unit circle
circle with a radius of 1
parts to memorize of a unit circle
0/2pi:pi/6:pi/4:pi/3:pi/2:pi:3pi/2
sin cos tan of a unit circle
sin = y
cos = x
tan = y/x
coordinates of point P
(cosr, sinr)
equilateral triangle
sides and angels all the same
isosceles triangle
2 sides are equal length
angles of a triangle add up to
180
coordinates of pi/6
x: sqrt(3)/2
y: 1/2
coordinates of pi/4
x: sqrt(2)/2
y: sqrt(2)/2
coordinates of pi/3
x: 1/2
y: sqrt(3)/2
30 60 90 triangle
60-90 a
hy - 2a
30-90 - a(sqrt3)
45 45 90 triangle
a, a, a(sqrt(2))
