Final answer:
The values of sin 60°, cos 60°, and tan 60° using a semicircle with a radius of 1 are sin 60° = √3/2, cos 60° = 1/2, and tan 60° = √3.
Step-by-step explanation:
To find the values of sin 60°, cos 60°, and tan 60° using a semicircle with a radius of 1, we can use the properties of the unit circle. In the first quadrant of the unit circle, the x-coordinate represents the value of cos θ and the y-coordinate represents the value of sin θ. Since the radius is 1, the coordinates of the point on the unit circle corresponding to 60° are (cos 60°, sin 60°) = (1/2, √3/2). Therefore, sin 60° = √3/2, cos 60° = 1/2, and tan 60° = (√3/2) / (1/2) = √3.