What does sin(z with a hat) mean?

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SUMMARY

The discussion centers on the interpretation of "sin(z with a hat)" in the context of complex analysis, specifically regarding the Cauchy-Riemann equations. The term "hat" refers to the complex conjugate, denoted as "a - bi" for a complex number "a + bi". Participants clarify that to prove the non-analytic nature of sin(z hat) and cos(z hat), one must apply the Cauchy-Riemann equations to the complex conjugate forms of these functions.

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Homework Statement



Sorry for the non-technical term, but I need to use cauchy-riemann equations on sin(z hat) and cos(z hat) to prove they're not analytic... which I'm sure I could try if I knew what it mean... I know for elementary maths that it means conjugate... but I can't find anywhere in my textbook which one to conj? If that's even what it is...


Homework Equations



sin(z) = [e^(iz) - e^(-iz) ] /2i

The Attempt at a Solution




so if that's the equation they want me to differentiate for C-R eqns then what is it's "hat" :) ...
 
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"hat" of a+bi is a-bi. It's the complex conjugate, as you said.
 

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