Problem 1: (15 points) The function x(t) is defined by x(t)=-2-6 cos(2t)+3i sin(-2t) + 4e-(4-1) - 4 cos(-3t+), +7), 1€ (-00, +00). Determine the coefficients ao, a and b,, of the trigonometric representation of y(x)=2x(t)+2 cos(t), which in general has the following form of the Fourier series: +00 y(t) = n=1 +00 +Σan cos(nwot)+bn sin (nwot), t€ (-0, +00). n=1 a0, a1 = , a2 = , a3 = 04= b₁ = b₂ = b3 = b4= a5 = ,06= ,07 = , ag= , ag= b5 = == , b6 = , b7 =, b8 =, bg=