Without a calculator, find two solutions $0°\leθ<360°$ that make each of the following equations true. 

1. $\cosθ=\frac{1}{2}$ 

   Answer (a):

   Draw a unit circle.

   The cosine is where the $x-$value (red line) is $\frac{1}{2}.$

   Answers: 60° and 300°

2. $\tan θ = −1$ 

   Answer (b):

   $135° \text{and}\ 315°$

3. $\sinθ=\frac{\sqrt{3}}{2}$ 

   Hint (c):

   Draw and label a unit circle as in part (a). Don't forget that the sine is the y-value! Which quadrants will the angles be in?

4. $\cosθ=−\frac{\sqrt{3}}{2}$ 

   Hint (d):

   See part (c).