Abstract

This paper is going to introduce a new identity unit circle function for complex plane specific for odd numbers.

Second, we are going to show some properties of these new unit Identity function.

Third, use this new unit Identity function to study the distribution of odd roots for sin term in zeta function but using the new identity function not Euler Identity to explain Riemann conjunction about the critical strip line and the none-trivial zeros along Re(S) = 0.5.

Also, In an Introductory Analysis for the geometric functions Sin and Cos, we will visualize the inverse of geometric function Sin.

Riemann's functional equation

Then Zeta function will be zero

1. At             is Zero for any complex number S.
2. If exponential term is zero also when S = S + 0.5 where S is any complex number.

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