Several research papers use a sinusoidal graph to model blood pressure. Assuming that a person’s heart beats 70 times per minute, the blood pressure P of an individual after t seconds can be modeled by the function

(a) In the interval [0, 1], determine the times at which the blood pressure is 100 mm Hg.

(b) In the interval [0, 1], determine the times at which the blood pressure is 120 mm Hg.

(c) In the interval [0, 1], determine the times at which the blood pressure is between 100 and 105 mm Hg.

20 sin() P(t) = 20 sin + 100