Mathematics Trigonometry Trigonometric Functions

The maximum value of 3 cos θ + 5 sin\(\left( {θ - \frac{\pi }{6}} \right)\) for any real value of θ is

1

\(\sqrt{19}\)

2

\(\frac{\sqrt{79}}{2}\)

3

\(\sqrt{31}\)

4

\(\sqrt{34}\)

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