Designing functions: Find a trigonometric function ?f? that satisfies each set of properties. Answers are not unique. a. It has a period of 6 hr with a minimum value of ?2 at ?t? = 0 hr and a maximum value of 2 at ?t? = 3 hr. b. It has a period of 24 hr with a maximum value of 20 at ?t? = 6 hr and a minimum value of 10 at ?t? = 18 hr.

Step-by-step solution Step 1 a) We need to find a trigonometric function f that has a period of 6 hr with a minimum value of -2 at t = 0 hr and a maximum value of 2 at t = 3 hr.