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The even and odd components of the signal x(t) = e-2t cos t are respectively.

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  1. cos 2t cos t and -sin 2t cos t
  2. sinh 2t sin t and -cosh 2t cos t
  3. cos 2t sin t and -sin 2t cos t
  4. cosh 2t cos t and -sinh 2t cos t

Answer (Detailed Solution Below)

Option 4 : cosh 2t cos t and -sinh 2t cos t
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Detailed Solution

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Concept:

if x(t) is given signal then,

Even signal of x(t) = 

&

odd signal of x(t) =

Solution:

Here,

x(t) = e-2t cos t 

Even signal of x(t) = 

&

odd signal of x(t) =

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