Question

seprate real and imaginery part of cos h(x+iy)​

Answer 1

cosh(x) and sinh(x) are hyperbolic functions. It is analogous to cos(x) and sin(x) which are circular functions.

Answer 2

Real part of cosh (x+iy) = cosh x cos y

Imaginary part of cosh (x+iy) = sinh x sin y

Given :

The function cosh (x+iy)

To find :

Real part and Imaginary part

Solution :

Step 1 of 2 :

Expand the given function

The given function is cosh (x+iy)

On expansion we get

cosh (x+iy) = cosh x cos y + i sinh x sin y

Step 2 of 2 :

Separate Real part and Imaginary part

Real part of cosh (x+iy) = cosh x cos y

Imaginary part of cosh (x+iy) = sinh x sin y

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