Write a lottery game using Java. Normally we would ask the user for input prior to generating the winning numbers, however to make testing easier we will do things in the reverse order: first we will show the winning numbers and only then ask the user to play.

The value of sin(x) (in radians) can be approximated by the alternating infinite series create a function (prob3_2) that takes inputs of a scalar angle measure (in radians) and the number of approximation terms, n, and estimates sin(x). do not use the sin function in your solution. you may use the factorial function. though this can be done without a loop (more efficiently), your program must use (at least) one. you may find the mod() function useful in solving the problem.