| A | B |
|---|
| Sinusoidal Function with sin | Y=asin[b(x-h)] + k |
| Sinusoidal Function with cos | Y=acos[b(x-h)] + k |
| Amplitude | Half the height of the wave |
| Period | (2*pi)/|b|, The length of one full cycle of the wave |
| Frequency | |b|/(2*pi), The number of complete cycles the wave completes in a unit interval |
| horizontal shift | h, phase shift |
| vertical translation | k |
| 8 | What is the amplitude of this equation? Y=8sin[(pi/20)(x-35)] + 20 |
| 20 | What is the period of this equation? Y=5sin[(pi/10)(x-35)] + 8 |
| If the period is 40, what is b? | 40=2pi/|b|, so b = pi/20 |
| If Y= 3sin[(pi/2)(x-20)] + 7), what is the period? | (2*pi)/|b| = period, So period = 4 |
