Suppose that is a fixed number, and consider the function ()=sin()+cos(+). Answer the following questions. Show and explain your work. (a) If 4, what is the period of the function ()? Does it depend on ?(b) Graph the function () when =4. What do you see? Provide an explanation to your observation (the explanation can be either geometric or algebraic).(c) Show, using trigonometric identities, that for any value of , the graph of () is simply a vertical scaling of the curve =sin+cos, possibly with a reflection about the x-axis.