For each of the following equations, find the solutions that lie in the domain $0 ≤ x < 2π$.      

1. $2\sin(x) - 1 = 0$ 

   Hint (a):

   For the equation to be true, $\sin(x)$ must $=\frac{1}{2}$.

   Hint 2 (a):

   You can either draw a unit circle to find all possible solutions or solve the equation graphically.

   Answer (a):

   

2. $2\cos(x) = -\sqrt { 3 }$ 

   Hint (b):

   In what quadrants is cos$(x)$ negative?

   Answer (b):

   

3. $2\sin(x) =\sqrt { 2 }$ 

   Hint (c):

   When does $\sin(x)=\frac{\sqrt{2}}{2}$?

4. $\cos(x) = 1$ 

   Hint (d):

   Picture a unit circle. At what angle is the adjacent side the same length as the hypotenuse?