Find the value of sin(π3)
(1 point)
Responses
3√2
Start Fraction 5 over 2 End Fraction
12
Start Fraction 5 Start Root 3 End Root over 2 End Fraction minus 1
1
1
0
To find the value of sin(π/3), we can use the unit circle or a trigonometric identity. Let's use the unit circle approach.
Step 1: Draw a unit circle (a circle with a radius of 1) with the center at the origin (0,0) on a coordinate plane.
Step 2: Identify the angle π/3 on the unit circle. In the unit circle, π/3 corresponds to the angle formed by the positive x-axis and a line extending from the origin to a point on the unit circle.
Step 3: Find the y-coordinate of the point where the line intersects the unit circle. This y-coordinate will give us the value of sin(π/3).
By observing the unit circle, you can see that the y-coordinate is equal to 1/2. Therefore, the value of sin(π/3) is 1/2.