Questions: Find the exact value. Do not use a calculator. cos(pi/6) sqrt(3) sqrt(2)/2 sqrt(3)/2 2 sqrt(3)/3

Solution Steps

To find the exact value of \(\cos \frac{\pi}{6}\), we can use the unit circle or trigonometric identities. The angle \(\frac{\pi}{6}\) radians is equivalent to 30 degrees, and the cosine of 30 degrees is a well-known trigonometric value.

We need to find the exact value of \( \cos \frac{\pi}{6} \). The angle \( \frac{\pi}{6} \) radians corresponds to 30 degrees.

From trigonometric values, we know that: \[ \cos 30^\circ = \frac{\sqrt{3}}{2} \] Thus, we can conclude that: \[ \cos \frac{\pi}{6} = \frac{\sqrt{3}}{2} \]

Final Answer