Find the terminal point on the unit circle determined by π6 radians.Use exact values, not decimal approximations.

The terminal point on the unit circle determined by π/6 radians can be found using the unit circle definitions of sine and cosine.

Step 1: Identify the angle The angle given is π/6 radians.

Step 2: Convert the angle to degrees if necessary In this case, it's not necessary because the angle is already given in radians.

Step 3: Use the unit circle to find the coordinates On the unit circle, the x-coordinate is equal to cos(θ) and the y-coordinate is equal to sin(θ). For an angle of π/6 radians, cos(π/6) = √3/2 and sin(π/6) = 1/2.

So, the terminal point on the unit circle determined by π/6 radians is (√3/2, 1/2).