# The maximum value of 3cos theta+5sin{theta-π/6) for any real value of theta is

more_vert

The maximum value of 3cos θ+5sin{θ-π/6) for any real value of θ is

A)$$\sqrt{19}$$

B)$$\sqrt{79}\over2$$

C)$$\sqrt{31}$$

D)$$\sqrt{34}$$

more_vert

verified

The correct option is A) $$\sqrt{19}$$

Detailed solution :