Find real and imaginary parts of cos(z)

Question : Find real and imaginary parts of cos(z)Solution :Let z=x+iy be any complex numbers where x and y are real numbers. Now cos(z) can be written ascos(z)=cos(x+iy)Expanding this by formula cos(A+B) =cos(A) cos(B) -sin(A) sin(B)cos(z)=cos(x+iy)=cos(x)  cos(iy)-sin(x)  sin(iy)Since cos(iy) =cosh(y),…

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