1. Consider this following statement:"If n is an integer, then (n^2)+n+41 is a prime number."a) Show that the statement is true for n=1, 2, 3, 4, 5.b) Disprove the statement by finding one counter-example. That is, find one value for n for which the statement is false.2. Prove that cosx + cos3x + cos 5x + ... + cos(2n-1)x = (sin2nx) / (2sinx).Any help would be greatly appreciated. Thanks in advance.
