If $\theta=\frac{\pi}{6}$, find the following. Give exact answers. \[ \sin (\theta)= \] \[ \cos (\theta)= \]

Step 1 ：The question is asking for the sine and cosine of the angle \(\theta=\frac{\pi}{6}\). These are standard angles in trigonometry and their sine and cosine values are well known.

Step 2 ：The exact values for \(\sin(\frac{\pi}{6})\) and \(\cos(\frac{\pi}{6})\) are \(\frac{1}{2}\) and \(\frac{\sqrt{3}}{2}\) respectively.

Step 3 ：Final Answer: \(\sin (\theta)=\boxed{\frac{1}{2}}\)

Step 4 ：Final Answer: \(\cos (\theta)=\boxed{\frac{\sqrt{3}}{2}}\)