Question: please solution matlab Task 3 (20 mins) 1. Given the following trigonometric functions: (Need to be solved analytically and verify using MATLAB): Y1 = Sin(1.57t

 please solution matlab Task 3 (20 mins) 1. Given the following

please solution matlab

Task 3 (20 mins) 1. Given the following trigonometric functions: (Need to be solved analytically and verify using MATLAB): Y1 = Sin(1.57t + 1/4) Y2 = Cos(1.57t + Tt/4) Y3 = 3 * Sin(0.628t - 1/3) where t is time in s. a. Calculate the period, phase shift, and amplitude peak (maximum) of both Y1 and Y3 (Hand calculation). b. Plot Y1 and Y3 using the MATLAB and measure the period, and amplitude peak (maximum) graphically and show them on the Compare your result to the analytical result in part a (Hint: define t from 0 to 10 s with 0.01 steps). C. Let Y4= (Y2)^2-(41)^2 plot Y4 using the MATLAB and measure the period and amplitude peak (maximum) graphically and s them on the figure. Determine the effect on amplitude, period and phase shift. Can you represent Y4 in a simple trigonometric f if yes explain? (Hint: define t from 0 to 10s with 0.01 steps)

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