Sinusoidal Functions question

Question

a) Determine the equation of a sine function that would have a range of  and a period of 45^o.

b) Determine the cosine function that results in the same graph as the function in part (a).

Answer 1

a) f(x) = 5/2sin(8x) - 3/2;

b) f(x) = - 5/2cos(8x + 90°) -3/2