Sinusoidal models of the form y=asin(bx)+c or y=acos(bx)+c,
Sinusoidal models describe quantities that repeat in regular intervals, or periodically, and are of the form y=asin(bx)+c or y=acos(bx)+c.
A sinusoidal curve y=acos(bx)+c is graphed below with key features.
The principal axis, the line around which the sinusoid oscillates, is given by y=c.
The amplitude, or the maximum distance the sinusoid reaches above and below the principal axis, is a.
The period, or the horizontal distance between consecutive maxima, is given by b360° (or b2πrad for HL).
Nice work completing Sinuisoidal Models, here's a quick recap of what we covered:
Exercises checked off
Sinusoidal models of the form y=asin(bx)+c or y=acos(bx)+c,
Sinusoidal models describe quantities that repeat in regular intervals, or periodically, and are of the form y=asin(bx)+c or y=acos(bx)+c.
A sinusoidal curve y=acos(bx)+c is graphed below with key features.
The principal axis, the line around which the sinusoid oscillates, is given by y=c.
The amplitude, or the maximum distance the sinusoid reaches above and below the principal axis, is a.
The period, or the horizontal distance between consecutive maxima, is given by b360° (or b2πrad for HL).
Nice work completing Sinuisoidal Models, here's a quick recap of what we covered:
Exercises checked off