People who believe in biorhythms claim there are three cycle

People who believe in biorhythms claim there are three cycles that rule our behavior?the ?physical, emotional, and mental. Each is a sine function of a certain period. The function for our emotional fluctuations is

where t is measured in days starting at birth. Emotional? fluctuations, E, are measured from ?1 to? 1, with 1 representing peak emotional? well-being,?1representing the low for emotional? well-being, and 0 representing feeling neither emotionally high nor low.

A. Find E corresponding to t=20,25,30,35, and 40. Describe what you observe.

B. What is the period of the emotional cycle?

Solution

(A) E when t= 20 will be sin *20/10 = sin 2 = 0 which means neither high nor low for emotional being.

E when t= 25 will be sin *25/10 = sin 5/2 = 1 which means high for emotional being.

E when t= 30 will be sin *30/10 = sin 3 = 0 which means neither high nor low for emotional being.

E when t= 35 will be sin *35/10 = sin 7/2 = 1 which means high for emotional being.

E when t= 40 will be sin *40/10 = sin 4 = 0 which means neither high nor low for emotional being.

I observe that human being is alternating between being neither high or low and high for emotional being as value is alternating between 0 and 1.

(B) Period of emotional cycle is as it comes back to the same state after cycle of .