Hi I have 4 questions I need help with

Any or all would be helpful :D

r - 5 sin(theta) = 5 cos (theta)

to rectangular form

------------

x^2 + 1 - (square root of 3i)

find all solutions, imaginary too.

-----------

Find solutions for 5th root of 1

I don't even get this at all???

-----------

Polar coordinates of (square root of 2), (square root of -2)

-----------

Reminder I needed to do this without calculator. There were the hardest questions on my homework I did not get!!! And my teacher is a jerk and he always collects our homework but I don't get this!!! I am getting a tutor because he teaches me NOTHING.

Thanks,

Kyle