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\frac{\sin(x)+16\tan(x)}{4}
Factor out \frac{1}{4}.
\sin(x)\left(1+\frac{16}{\cos(x)}\right)
Consider \sin(x)+16\tan(x). Factor out \sin(x).
\frac{\sin(x)\left(1+\frac{16}{\cos(x)}\right)}{4}
Rewrite the complete factored expression.