IN MATLAB...Write a procedure to compute f (x) = sin x 1 + cos x. The routine should produce nearly full machine precision for all x in the interval [0, /4]. Hint: The trigonometric identity sin2 = 1 2 (1 cos 2) may be useful. Tell the significance and commentary about the answer....use and if/else statement when evaluating function f(x) for values in domain for possible loss of significance for binary bits. if there are no loss of significance, original function is used

Write a procedure to compute f(x) = sin x - 1 + cosx. The routine should produce nearly full machine precision for all x in the interval [0,1/4]. Hint: The trigonometric identity sine = }(1 - cos 20) may be useful