of Sine and Cosine.
The basic equations of Graphing Sine and Cosine are y= a sin bx, y= a cos bx
The intermediate equations for Transformation of Graphing Sine and Cosine are y= a sinb(x-h)+k , y= a cosb (x-h)+k , h
represents the horizontal movement of the graph and k represents the vertical movement of the graph.
Amplitude- The amplitude is the distance from the x-axis to the highest point or lowest point for a sin x or cos x function, and is
unlimited for a tan x function.
A period is the length of a cycle which is measured in degrees or radians.
The periods of a sin x or cos x function is 360°
The period for a tan x function is 180°
II-these brackets represent the absolute value of a function. Absolute Value means that whichever number is between the brackets becomes positive.
The domain of a function is a set of numbers with all first x-coordinates of the ordered pairs in a function.
The range of a function is a set of numbers with all first y coordinates of the ordered pairs in a function.
The maximum value is the highest point of a function and the minimum value is the lowest point on the curve of the function, they are represented by
y-values.
For the basic graph of y=sin x

Domain: (-∞,∞)
Range: [-1, 1]
Period: 360°
Maximum Value: y = 1
Minimum Value: y = -1
X-intercept: x = c180°
For the basic graph of y=cos x

Domain: (-∞,∞)
Range: [-1,1]
Period: 360°
Maximum Value: y = 1
Minimum Value: y = -1
X-intercept: x = c180°-90°
No comments:
Post a Comment