Sinusoidal Modeling Set Calculators to DEGREE mode Transformations

Sinusoidal Modeling (Set Calculators to DEGREE mode)

Transformations of Sinusoidal Functions üAmplitude |A|: A controls vertical stretching/shrinking üPeriod p can be in radians or degrees: p is the horizontal length to complete one cycle üHorizontal shift B can be in radians or degrees: B controls horizontal stretching/shrinking üVertical shift k: Ø+k , shift k units up Ø–k , shift k units down üHorizontal phase shift h (proportionally scaled to 2 radians or 360 ): Ø–h, shift h units right Ø+h, shift h units left where, xstart corresponds with the first point of the sine or cosine cycle

Amplitude (A) Period (p) B Vertical Shift (k) Phase Shift (h), for Sine h= – 120, since shift RIGHT Annual Temperature Change (MD) Sine Model Phase Shift (h), for Cosine b= – 210, since shift RIGHT Cosine Model

Amplitude (A) Period (p) B Vertical Shift (k) Annual Temperature Change (MD) Phase Shift (h), for Sine

Amplitude (A) Period (p) B Vertical Shift (k) Phase Shift (h), for Sine h= – 120, since shift RIGHT Annual Temperature Change (MO) Sine Model Phase Shift (h), for Cosine h= – 210, since shift RIGHT Cosine Model

Amplitude (A) Period (p) B Vertical Shift (k) Phase Shift (h), for Sine Annual Temperature Change (MO)

Amplitude (A) Period (p) B Vertical Shift (k) Phase Shift (h), for Sine h= -150, since shift RIGHT Sine Model Tide Height Phase Shift (h), for Cosine h= – 60, since shift RIGHT Cosine Model

Amplitude (A) Period (p) B Vertical Shift (k) Phase Shift (h), for Sine Tide Height

Amplitude (A) Period (p) B Vertical Shift (k) Predator/Prey Phase Shift (h), for Sine Model Phase Shift (h), for Cosine h= – 90, since shift RIGHT Cosine Model

Amplitude (A) Period (p) B Predator/Prey Vertical Shift (k) Phase Shift (h), for Sine