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###### Please add comments line for matlab and show all step in paper, ASAP. Thanks in advance....

Please add comments line for matlab and show all step in paper, ASAP. Thanks in advance.

0.24 Hyperbolic sinusoids-In filter design you will be asked to use hyper bolic functions. In this problem we relate these functions to sinusoids and obtain a definition of these functions so that we can actually plot them (a) Consider computing the cosine of an imaginary number, i.e., use cos(x) 2 let j and find cos(x). The resulting function is called the hyper- bolic cosine or cos(je) = cosh(0) b) Consider then the computation of the hyperbolic sine sinh(0), how would you do it? Carefully plot it as a function of e. (c) Show that the hyperbolic cosine is always positive and bigger than 1 for all values of 0 d) Show that sinh(e)-sinh(-0) e) Write a MATLAB script to compute and plot these functions between -10 and 10 Answers: sinh(0) -j sin(je) and odd.

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