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t-rexy
help cauchy -riemann condition to check if its analytic??
the function is f(z)=sin z
Step I: f(z)=sin(x+iy) =sinxcoshy+icosxsinhy u=sinxcoshy v=cosxsinhy partial derivative of u w.r.t x is cosxcoshy partial derivative of u w.r.t y is sinxsinhy partial derivative of v w.r.t x is -sinxsinhy partial derivative of v w.r.t y is cosxcoshy Step II: partial derivative of u w.r.t x is=partial derivative of v w.r.t y and partial derivative of u w.r.t y is=(-partial derivative of v w.r.t x ) so it is analytic.