pseudocode for the following C Program

Topic 1 Write a program that uses the Maclaurin series to determine the trigonometric functions sin() and cos() result of an angle x. Additionally, tan() must also be determined using past results from sin() and cos() The program must fulfil these requirements: Angle x must be in radians. The precision of the result should be at least 4 decimal places. Calculation must stop when the result is within le-7 of the actual value. The functions sin().cos(), tan() in math.h ARE NOT allowed to be used! Maclaurin series is used to determine trigonometric results. Let the maximum number of iterations be N = 100 sinx = 1)*x**** (2k + 1)! N COS X = (-1)*222 (2k)! sinx tanf= COS X Examples: Choose function [1] sine(x) or [2] cosine(x) or [3] tangent(x): 1 Enter angle x in radians: 6.8 sine( 0.80) = 0.717356 Choose function (1) sine(x) or (2) cosine(x) or (3] tangent(x): 2 Enter angle x in radians: 1.3 cosine (1.30) = 0.267499 Choose function [1] sine(x) or [2] cosine(x) or [3] tangent (x): 3 Enter angle x in radians: 6.64 tangent(0.64) = 0.744544