The complex Fourier series representation of a periodic function of period 2π is given by. FS(t)= Σ Σ me me 7=-00 2 7³ where cn = 1+ " (2-5(-1)")j. Find, to three decimal places, the amplitude cl and phase on for n = = 1,2. Enter the real and imaginary values of c, in the appropriate boxes below. Enter |c₁| correct to 3 decimal places: Enter ₁ correct to 3 decimal places: Enter ₂ correct to 3 decimal places: Enter 2 correct to 3 decimal places: Enter the real part of c Enter the imaginary part of c 1:

Find the amplitude of y = -4 cos(6x). O -6 O 6 O -4 O 4

Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y=-2 sin (-2x+3)-3 Which of the following functions is equivalent to y = - 2 sin (x - 17 ) - 3 O A. y 4 sin x- O C. y=-2 sin |2x - π n ( - 2x + 737) - 3² 3? 3 O B. y = -2 sin 2 sin (2x + 3) +3 O D. y=2 sin 2x- - 3

Graph the translation y = 1/2 cos 2(x - pi/4) +1