well then, the cheap answer is [tex]\bf sin(2x)-cos(3x)\\\\
-----------------------------\\\\
\textit{Double Angle Identities}
\\ \quad \\
\boxed{sin(2\theta)=2sin(\theta)cos(\theta)}
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}
\\ \quad \\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}
\\\\
and
\\\\
\textit{triple angle identities}
\\\\
\boxed{cos(3\theta)=4cos^3(\theta)-3cos(\theta)
}
[/tex]
rather obvious
