Constants
The constant for the midline or vertical translation
What is D?
The angle made when the radius is wrapped around the circle.
What is a radian? (1 radian is about 57.2958 )
y intercept equals 1
y = cosx
The amplitude of y=3cos(x)
What is 3?
The constant for for Amplitude or vertical enlargement
What is A?
Converting degrees to radians
What is multiply by pi / 180?
The even trig function (symmetrical)
What is Cos(x)
The period of y=sinx
What is 2pi or 360degrees?
Causes a trig function to flip
What is a negative Amplitude? (-A)
What is amount of radians in a half circle?
pi radians / 180 degrees
What is the distance between x intercepts for cosx or sinx
180 degrees or pi
The period of y=sin(2x)
What is Pi or 360degrees
What causes a Trig function graph to shift to the left?
What is a +C value?
How much is a quarter turn in radians.
pi /2
a line that a graph gets closer and closer to as it goes on forever, but it never truly touches or crosses it
What is asymptote?
The amplitude, period and midline of y=2sin(3x)+1
What is Amplitude = 2 , period = 2 pi / 3 , midline = 1
It is approximately 12 hours between high tides what would the constant B be?
B = 2pi / period - Period = 12 hours
B = 2pi/12
B = pi/6
What is the general period for y=sinx and y=cosx ?
What is 2 pi
The general sin equation (with constants)
y = Asin(B(x-C))+D or y = Asin(B(x+C))+D
A possible equation for a sine graph with amplitude 4, period 180∘, and midline y=2
y = 4sin (2x) + 2