# Consecutive company

**Geometry**Level 2

\[\large 3\sin \theta+4\cos \theta+2\]

For real number \(\theta\), the range of the expression above can be written as \([a,b]\). Find the value of \(a+b\).

\[\large 3\sin \theta+4\cos \theta+2\]

For real number \(\theta\), the range of the expression above can be written as \([a,b]\). Find the value of \(a+b\).

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