Build a c++ program

Equation: f(x) = cosec(x) + cos(x) Range of x: 1 <= x =<160.5 Step of x: 0.5 A) Based on the information above (Equation, range and step of x) 1. Values of f(x) and x 1.1 Generate the value of f(x) for all value of x. 1.2 Display f(x) and x within the range of x given by user. 2. Apply the following filters in sequence to obtain the final value of f(x), denoted as f_final(x). 2.1 Get the highest value of the first 50 and the last 50 values of f(x) and add to each of f(x) 2.2 Get the standard deviation of the first 100 values of f(x) and minus from each of f(x) 2.3 Get the lowest value of the last 100 values of f(x) and add to each of f(x) Note: f(x) from (1.1) will be used in (2.1). The resultant f(x) from (2.1) will be used in (2.2) and so on 3. Values of f_final(x) and x in file. 3.1 Save all values of f_final(x) and x in a file. 3.2 Read f_final(x) and x from the file and display within the range of x given by user. 4. Analysis Data: 4.1 Divide f_final(x) points into 5 quantiles (based on the value of f_final(x)) 4.2 For each quantile, find and display average, standard deviation, maximum and minimum of f_final(x) B) The following items must be included in the programs: 1. if else statement / switch case statement 2. loop 3. Array 4. functions (parameters passed by value and references) 5. structure / class 6. files C) Others 1. Display appropriate menu to include item A (1 to 4). 2. Do not execute or display filter or analysis which is not in the specification 3. Do not display values of x, f(x) or f_final(x) during their generation