Graphs of Sine and Cosine Functions Flashcards
1
Q
Domain of sin(x)
A
(-infinity, infinity)
same for cosine
2
Q
Range of sin(x)
A
[-1,1]
same for cosine
3
Q
y=sin(x) & y=cos(x)
A
one cycle
4
Q
sin(x) starts at…
A
starts at local min
5
Q
cos(x) starts at…
A
start at local max
6
Q
equation for sin/cos graphing
A
y=asin/cos(bx-c)+d
7
Q
vertical shift (y)
A
y=d (midline)
8
Q
amplitude (a)
A
stretch/shrink; height above or below midline
9
Q
period
A
2pi/b
10
Q
phase shift (vertical shift)
A
c/d
11
Q
keypoint
one cycle starts when
A
x=c/b (phase shift)
12
Q
keypoint
one cycle starts when
A
x=c/b (phase shift)
13
Q
keypoints
one cycle ends
A
x=(c+2pi)/d (period)
14
Q
midpoint
A
(x1 + x2)/2
15
Q
width of quarter cycle (add to get next value of keypoint)
A
pi/2b
