Use Euler's formula to prove the following identities: i. cos (0)+sin (0) = 1 ii. cos...

  

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Use Euler's formula to prove the following identities: i. cos² (0)+sin² (0) = 1 ii. cos (+) + cos(0) = 2 cos (0) cos() (b) (8 points) x(t) = (5 + √√2j)ei (t+2) and y(t) = 1/(2 – j). i. Compute the real and imaginary parts of r(t) and y(t). ii. Compute the magnitude and phase of r(t) and y(t). Use Euler's formula to prove the following identities: i. cos² (0)+sin² (0) = 1 ii. cos (+) + cos(0) = 2 cos (0) cos() (b) (8 points) x(t) = (5 + √√2j)ei (t+2) and y(t) = 1/(2 – j). i. Compute the real and imaginary parts of r(t) and y(t). ii. Compute the magnitude and phase of r(t) and y(t).