after all this 50 some post...look at the progression...
\sqrt{3}\sin{2t} - 3\cos{2t} = -\frac{\pi}{3}
seems to me that this is gettin further away from the answer...
what do you mean find alpha? didnt we just do that? is that -60 degrees or \frac{-\pi}{3}
its just that i have no idea on what the final equation looks like both sides don't match at all right now, i have:
\sqrt{3}\sin{2t} - 3\cos{2t} = -\frac{\pi}{3}
is that correct so far?
ok so now that we have a\cos{\alpha}\sin{2t} = \sqrt{3}\sin{2t} what happens then? what am i suppose to do with the \sqrt{3} = a\cos{\alpha}
am i suppose to isolate the a?
ok I am completely lost now here's what i got:
\sin{2t}\cos{\alpha} + \cos{2t}\sin{\alpha}
theres nothing more that i can do to make it look like the right side.