In my math it told me when I have x(cos y+i sin y) to plug in cos y into my calculator to degree mode, so cos(210) would give me -sqrt3/2 but cos(62) would give me 0.469471563 which isn't a fraction, I'm just asking if I'm doing anything wrong in that sense. And when I put it into radian mode, no fractions came up.
When you say "fraction", you mean that your calculator, when possible, gives an
exact form, namely a radical expression.
Most trig function results
can't be written in that form, so you should not expect it.
This is one of the negative side effects of calculators that do too much for you. Usually when doing trig you want a decimal form; when a problem asks for an exact form, they want you to use you own mind rather than a calculator (by memorizing special values). I would set the calculator to just give decimal answers.
I'm having trouble properly calculating problems such as 'Find indicated power, write in standard form, (1-isqrt3)^7', and 'find all indicated roots. write in trig form, Cube roots of 27i'.
It will be very helpful if you can show us your attempt, so we can see what you are being taught, and what part of it you don't understand.
In particular, if you don't even know how to start, we'd like to see what you were taught (a rule, or an example, perhaps in the form of an image from your book or notes), so we can be sure what notation and method you are learning. If we demonstrate something different, it will only add to your confusion. But very likely, there is some prerequisite that you don't solidly understand, so seeing any work at all can give us a sense of whether we need to back up and help you with that.
