I think that what makes this one a bit tricky is that is looks complex. But if we use Euler's Equation, we can make this into a much simpler expression. Have you studied Euler yet? (It's pronounced "oiler"... maybe you remember your teacher mentioning this?)
according to Euler, cos(166ο) + isin(166ο) = e166deg*i
sorry - couldn't figure out how to put a degree sign in an exponent :)
similarly the bottom part can convert to e82deg*i
so the whole thing converts to :
The 2's cancel. Then we can combine the exponents of 'e'.
166-82 = 84
your teacher MAY want that back in polar form. Do you know how to do Euler's formula in reverse, now that we've done it forwards?