I have a few problems that I just can't figure out how to deal with at all.

Solve for all answers in radians:

1. 1-sin(t) = sqrt3(cos t)

2. cos(x) - sin(x) = 1

(I know that one's really simple, but I don't know how to set it up.)

3. 2tan(t) - sec^2(t) = 0

4. tan(x) + sec(x) = 1

5. cot(a) + tan(a) = csc(a)sec(a)

6. sec^5(x) = 4sec(x)

The section we're on is factoring trig equations, but my basic factoring skills have gone all dry and I can't remember how to do it simply. If I knew how to factor these I could get the answers, so the factoring is mainly what I need help on--or if it's not factoring, then how to set it up so I can find all the angles within the equation.