Solve each equation for $0^\circ\leθ<360^\circ$, or if you prefer, $0\leθ<2\pi$. You may need your calculator, but remember that your calculator only gives one value.

1. $\sin(θ)=0.5$ 

   Step 1(a):

   Use inverse sine on your calculator to find one solution.
   $\sin^{−1}(0.5)=θ$

   Partial Answer 1(a):

   It should tell you the answer is $30^\circ$.

   Step 2(a):

   Draw a unit circle to find the other angle that makes $\sin(θ)=0.5$. The sine function is positive in quadrants I and II, so draw a reference angle of $30^\circ$ in each quadrant.

   Partial Answer 2(a):

   

2. $\cos(θ)=-0.5$ 

   Hint (b):

   Follow the steps in part (a).

   Partial Answer (b):

   

3. $4\tan(θ)-4=0$ 

   Step 1(c):

   First solve the equation for $\tan(θ)$.
   $\tan(θ)=1$.

   Step 2(c):

   Follow the steps in part (a).

   Partial Answer (c):

   $45^\circ$ and $225^\circ$