3. When solving differential equations of the form 9:\" + bx' + CH: = 0, we sometimes end up looking at 5 +3i62+ 5 32' 2 2 useful; for instance, it's hard for us to graph it. In this problem, you'll see how to rewrite this function in a more friendly form. functions like 722.15. Unfortunately, a function expressed in this form is not terribly (a) Use Euler's formula to express 62\" in terms of cos(2t) and sin(2t). (b) Use Euler's formula to express 6'2\" in terms of cos(2t) and sin(2t). (0) Which of the following statements are true? (There are 2.) A. cos(2t) = cos(2t) C. sin(2t) = sin(2t) B. cos(2t) = cos(2t) D. sin(2t) = sin(2t). ((1) Use your answers to (b) and (c) to express 6'2\" in terms of cos(2t) and sin(2t). 5 + 352.. + 5 2 3% (e) Express in terms of cos(2t) and sin(2t). (Please simplify your answer as much as possible.)