Math 11
Transformations of y = sin x and y = cos x
1. For each equation, list the transformations that are occurring (VS, HS, VT, HT and Rx)
a) 1/2y = sin3(x – 45o)
VT=
VS=
HT=
HS=
Rx=
d) -¼ (y - 0.5) = sin 0.5(x + 45o)
VT=
VS=
Rx=
HT=
HS=
b) 2(y – 1 ) = sin (x -30o)
VT=
VS=
HT=
HS=
Rx=
e) 0.5y = sin 6x
VT=
HT=
VS=
HS=
Rx=
c) ½ (y + 3) = cos 2(x + 90o)
VT=
VS=
HT=
HS=
Rx=
f) -2y = sin 7x
VT=
HT=
VS=
HS=
Rx=
2. Rearrange the following equations into transformational form
a) y = 3cos2x
b) y = 0.5 sin3(x+30)
c) y = 3cosx - 5
d) y = ¼ sin0.5x – 3
e) y = -2 cos3(x – 90o) + 5
f) y = -¾sin ½(x + 450o) + 2
3. Rearrange the following equations into standard form:
a) ½ y = sin4x
b) y - 8 = cos2(x+30o)
c) 4y = sin0.5x
d) -3(y+2) = cos x
e) ½ (y-1) = sin4x
f) -5(y - 3) = sin ½(x + 45o)