4. Sum of a Sine and Cosine Function a) By hand, graph the function f(x) = 4 sin 3x on the interval -70 71 'EJন। -TT b)

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4. Sum of a Sine and Cosine Function a) By hand, graph the function f(x) = 4 sin 3x on the interval -70 71 'EJন। -TT b)

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4. Sum of a Sine and Cosine Function a) By hand, graph the function f(x) = 4 sin 3x on the interval -70 71 'EJন। -TT b) Graph by hand the function g(x) = 4 cos 3x on the interval 2 ਹੈ। c) Use your calculator to graph h(x) = 4 sin 3x + 4 cos 3x on the same interval. Copy your graph to your paper and label your axes. d) Your graph should be sinusoidal. Find the period, amplitude, and midline of h(x) and compare them to fand g e) Find an approximate equation of h(x) of the form y = a sin(bx+c)+k. 1) Compare h(x) with your approximation using a table and your graphing calculator. Copy 5 entries of your table to your paper. g) of the four parameters a, b, c, and k in parte) above, which would you change to get a better approximation of h(x) and why?
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