Fresnel Cosine Integral Function of Zero

Theorem

 * $\map {\operatorname C} 0 = 0$

where $\operatorname C$ denotes the Fresnel cosine integral function.

Proof
By Fresnel Cosine Integral Function is Odd, $\operatorname C$ is an odd function.

Therefore, by Odd Function of Zero is Zero:


 * $\map {\operatorname C} 0 = 0$