⎦ ⎣ ⎦ π = T ⎣ Subinterval width: ⎜ ⎟ 2 ⎜ ⎜ 2 ⎟ ⎟ 4 4 ⎝ ⎠ ⎝ Key points: ⎝ ⎠ ⎠ = ⎛ − 3 sin 2 x ⎞ ⎛ 3π ⎞ π ⎞ ⎛ ⎞ 5π π π ⎛ ⎞ ⎛ ⎜ 2 ⎟ (π ,3 , , −3 , −3 ,0) , ,0 , , ⎝ ⎠ ⎜ 4 ⎜ 4 ⎟ ⎜ ⎟ 2 ⎟ ⎜ ⎟ 4 Amplitude: ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ = 3 = 3 A Period: = 2π = 2π = π T ω 2 π Phase Shift: φ = 2 = π ω 2 4 Interval defining one cycle: φ φ ⎡ , + ⎤ = ⎡π , 5π ⎤ T ω ⎢ω ⎥ ⎢ ⎥ 4 4 ⎣ ⎦ ⎣ ⎦ Subinterval width: π = 4 4
⎣ ⎦ ⎣ ⎦ Subinterval width: T = π ⎜ 2 ⎟ ⎜ ⎜ 2 ⎟ ⎟ 4 4 ⎝ ⎠ ⎝ ⎝ ⎠ ⎠ Key points: = 3 sin ⎛ 2 x − π ⎞ ⎛ π ⎞ ⎛ π ⎞ ⎛ 3π ⎞ ⎛ 5π ⎞ ⎜ 2 ⎟ , −3 , ,0 , ,3 , (π ,0) , , −3 ⎝ ⎠ ⎜ 4 ⎟ ⎜ 2 ⎟ ⎜ 4 ⎟ ⎜ 4 ⎟ Amplitude: A = 3 = 3 ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ Period: T = 2π = 2π = π ω 2 π Phase Shift: φ = 2 = π ω 2 4 Interval defining one cycle: ⎡ φ , φ + T ⎤ = ⎡π , 5π ⎤ ⎢ω ω ⎥ ⎢ 4 4 ⎥ ⎣ ⎦ ⎣ ⎦ Subinterval width: = π 4 4