Question

2 Euler's formula relates the complex exponential to trigonometric functions as e" = cos(9) + j sin(9) This problem considers two alternate forms of Euler's formula. (a) Show that we can represent cos(0) in terms of complex exponentials as eje +e-je cos(e) (b) Derive a similar expression to part (a) for sin(e) (c) Use the results of part (a) to hand com pute cos(2). Verify your result with MATLAB. This result conflicts with a common statement in high school mathematics: that sinusoids can never exceed one. How can you resolve/explain this apparent conflict? 3. Define a function F)

Can you do part A through B please?

Answer 1

olwhion As Los u Cos θ-cos (-o) an even ten 'on , :. dding O and 2 un ch, n, sćnt®)--sin θ As sind an edd Sushachng and , sin θ i8218 aj