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Category:Audiovisual sub-field processing softwareQ:

Prove that $f(X)$ is equivalent to $\varphi(X)$

I am trying to prove that if $\varphi(x) = \sin(x) + \cos(x)$, then $f(x) = \varphi(x) + \frac{x^2}{2}$.
I am really not sure where to begin. I tried to prove that $\frac{1}{\sin(\pi) – \sin(0)}$ is the constant term of the Laurent series expansion, so that I could equate it with $f(0)$ to get a function which satisfied the difference equation for the sine and cosine functions.
Is there a more direct way of approaching this?

A:

$$\sin x + \cos x=\frac{x^2}{2}+\varphi(x)=\frac{x^2}{2}+\frac{x^2}{2}+\frac{x^2}{2}+\frac{x^2}{2}=\frac{x^2}{2}+x^2=\frac{x^2(1+1)}{2}=\frac{x^2}{2}+x^2=x^2$$

Aberrant G protein-coupled receptor gene (GPR8) expression in human head and neck squamous cell carcinoma: expression of the GPR8 gene in a head and neck squamous cell carcinoma cell line.
GPR8 gene has been isolated as a novel rhodopsin gene on the basis of its high homology with rhodopsin. Recent findings suggest the GPR8 gene product may act as an atypical G protein-coupled receptor. Aberrant G protein-coupled receptor (GPR8) gene expression has been shown in various types of cancer, and this aberrant GPR8 expression may contribute to the progression of the malignant process. The aim of this study was to elucidate whether there was any relationship between aberrant GPR8 gene expression and the development of head and neck squamous cell carcinoma (H

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