Week 4

Question 1

sin function

Answer 1

y = sinx
a periodic function
range - (-1,1)
measures vertical component of angle
period (full cycle) - 2pi
begins at origin
*goes on forever

Question 2

amplitude

Answer 2

distance from midline of a sin wave to its crest

Question 3

cos function

Answer 3

measures horizontal component of angle
y = cosx
begins at 1, at a crest (ends at crest 1)
period - 2pi

Question 4

sin/cos func transformation formula

Answer 4

y = Asin(Bx+C)+k
Amplitude (A) - |A|
Period - 2pi/B
phase shift (horizontal) - -(C)/B
vertical shift - k
new midline y=k

Question 5

finding start/end of cos/sin func

Answer 5

s - inside (of func) = 0
e - inside = 2pi
*start always = phase shift
*end-start = period

Question 6

x scale

Answer 6

always period/4