Answer
The given statement makes sense.
Work Step by Step
The given statement makes complete sense and this can be explained with the help of the example:
$\begin{align}
& \sin \left( x+y \right)=\sin x\cos y+\cos x\sin y\ne \sin x+\sin y \\
& \cos \left( x+y \right)=\cos x\cos y-\sin x\sin y\ne \cos x+\cos y \\
& \tan \left( x+y \right)=\frac{\tan x+\tan y}{1-\tan x\tan y}\ne \tan x+\tan y \\
\end{align}$
Thus, given statement makes complete sense.