Apair of functions f and g are said to be orthogonal on the interval [a, b] if b f(x g(x dx a = 0. a family of functions is said to be orthogonal on [a, b] if each distinct pair of functions f? g in the family is orthogonal on [a, b]. in this problem, you will show that the family of trigonometric functions sin(x, cos(x, sin(2x, cos(2x, sin(nx, cos(nx, is orthogonal on the interval [0, 2? ].