Answer
See answer below.
Work Step by Step
1) First Method: Use trigonometric functions $sine$ and $cosine$ that model a sinusoid to calculate the values of $a,b,h,k$ for
a) $y=a \sin b (x-h) +k $ and $y=a \cos b (x-h)+k$
2 ) Second Method: Use a Graphing Calculator that has a sinusoidal regression feature.