Find the equation of the tangent line to the curve $\displaystyle {y}={4}{\sin{{x}}}$ at the point $\displaystyle {\left(\frac{\pi}{{6}},{2}\right)}$.

The equation of this tangent line can be written in the form $\displaystyle {y}={m}{x}+{b}$ where
$\displaystyle {m}=$ Preview Question 6 Part 1 of 2  
and $\displaystyle {b}=$ Preview Question 6 Part 2 of 2