Using the unit circle or special angles, find the value of sin(pi/3) to be √3/2

sinx pi/3

To find the value of sin(pi/3), you can use the unit circle or the sine function’s special angles

To find the value of sin(pi/3), you can use the unit circle or the sine function’s special angles.

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. Since the angle is pi/3, we can draw a line from the center of the unit circle to the circumference, forming an angle of pi/3 with the positive x-axis.

The x-coordinate of the point where the line intersects the unit circle is equal to cos(pi/3), and the y-coordinate is equal to sin(pi/3). Since the point lies in the first quadrant, both the x and y-coordinates will be positive.

If we draw this line, it will intersect the unit circle at the point (1/2, √3/2). Thus, sin(pi/3) = √3/2.

Alternatively, you can use the special angles of the sine function. The sine of pi/3 is equal to the sine of 60 degrees (since pi/3 radians is equivalent to 60 degrees). The sine of 60 degrees is equal to √3/2.

Therefore, sin(pi/3) = √3/2.

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