Ok basically I need to:

Express $\displaystyle cos(\frac{2}{3}+i2)$ in the form $\displaystyle x+iy$

I've done the following:

$\displaystyle cos(\frac{2}{3}+i2) = cos(\frac{2}{3})cosh(2)-isin(\frac{2}{3})sinh2$

$\displaystyle =0.7859 X 3.7622 - i(0.6184 X 3.6269) $

$\displaystyle = 2.9567-i(2.249)$

Is this the correct answer? My professor has $\displaystyle 0.759567 + i(2.8503)$ as the answer?