Evaluate the expression 3(pi/4) + (pi/6)(pi/3) and choose the correct option.

We know the standard values for these angles:

• $\tan(\pi/4) = \tan(45^\circ) = 1$
• $\sec(\pi/6) = \frac{1}{\cos(\pi/6)} = \frac{1}{\cos(30^\circ)} = \frac{1}{\sqrt{3}/2} = \frac{2}{\sqrt{3}}$
• $\sin(\pi/3) = \sin(60^\circ) = \frac{\sqrt{3}}{2}$

$$3(1) + \left(\frac{2}{\sqrt{3}}\right)\left(\frac{\sqrt{3}}{2}\right) = 3 + \frac{2\sqrt{3}}{2\sqrt{3}}$$ $$= 3 + 1$$ $$= 4$$

The exact solution is 4.

Comparing this with the given options:
A) 2
B) 4
C) 7
D) 3

The correct option is B.

The final answer is $\boxed{\text{B) 4}}$.