1. Implementation of a sine function using Taylor series (20 pts) t3 t5 t7 t 31 5 7 9! sin t = t +--... (2n-1) In this assignment, you write a MATLAB code that implements a Taylor series approximation of a sine wave, which is given in the equation above. Follow the steps that are provided below, and attach your code and plot 1. Definition of -2t, 2n] (3 pts) .Note: MATLAB cannot fully express a continuous time range; it only approximates' in a discrete manner. In construction of vector t, use the step size of 0.01 This will suffice to look almost like a continuous signal. 2. Definition of y as a sine function of t (3 pts) 3. Generation of a plot of f and y (4 pts) 4. Taylor series via manual summation (4 pts) Note: Write the formula directly, for n 1,2 , 7 5. Taylor series via summation using a "or" loop (6 pts) . Note: Write a "for" loop performing a summation, for n 1,2,. 13 Note: Your plot contains the results of Parts 3, 4, and 5 Attach your code and plot below