Find the period of y = A·sin(Bx + C) + D and describe the full wave properties.
The period of y = A·sin(Bx + C) + D is 2π/|B| — the horizontal length of one complete cycle. Frequency is the reciprocal: |B|/(2π) cycles per x-unit.
Period
Period = 2π / |B|
The period decreases (the wave compresses horizontally). B = 2 means 2 complete cycles in the interval [0, 2π].
Period = 1/frequency and frequency = 1/period. Period measures the length of one cycle; frequency measures cycles per unit.