Show that the given set of functions is orthogonal on the indicated interval. find the norm of each function in the set. 1, cos nπ p  x , n = 1, 2, 3, ; [0, p] for m ≠ n p cos nπ p  x cos mπ p  x dx 0 = 1 2 p cos (n − m)π p  x + correct: your answer is correct. dx 0 = correct: your answer is correct. p 0 = correct: your answer is correct. for m = n p cos2 nπ p  x dx 0 = p 1 2 + dx 0 = p 0 = correct: your answer is correct. also p 1 · cos nπ p  x dx 0 = p 0 = and p 12 dx 0 = correct: your answer is correct. p 0 = correct: your answer is correct. so that cos nπ p  x = correct: your answer is correct. and 1 =