Given:
The coordinates of the terminal point of θ in the unit circle is,
[tex](x,y)=(\frac{1}{2},\text{ }\frac{\sqrt[]{3}}{2})[/tex]
The x coordinate of the terminal point is x=cos θ.
Hence, we can write
[tex]\begin{gathered} x=\frac{1}{2}=\cos \theta \\ \frac{1}{2}=\cos \theta \end{gathered}[/tex]
The cosine of θ has value 1/2 when θ=60° .
Therefore, the value of θ is 60° .
